**Core Concept**
Fat embolism syndrome (FES) is a clinical condition characterized by the presence of fat globules in the bloodstream, which can lead to a range of systemic complications. The condition typically occurs following a long bone fracture, particularly of the femur, and is associated with significant morbidity and mortality.

**Why the Correct Answer is Right**
The laboratory findings in fat embolism syndrome are multifaceted and include:
- Hypoxemia: Due to the obstruction of pulmonary capillaries by fat globules, leading to impaired gas exchange and decreased oxygen levels in the blood.
- Hypocapnia: Resulting from the compensatory increase in respiratory rate, which can lead to respiratory alkalosis.
- Elevated arterial carbon dioxide levels: Due to the impaired gas exchange, leading to hypercapnia.
- Coagulopathy: Characterized by prolonged prothrombin time, partial thromboplastin time, and decreased fibrinogen levels.
- Anemia: Resulting from the destruction of red blood cells due to the mechanical obstruction of blood vessels by fat globules.
- Elevated levels of creatine kinase (CK) and lactate dehydrogenase (LDH): Due to the release of these enzymes from damaged muscle cells.

**Why Each Wrong Option is Incorrect**
**Option A:** Elevated lactate levels are not a direct consequence of fat embolism syndrome, although metabolic acidosis can occur due to the impaired oxygen delivery to tissues.
**Option B:** Hyperkalemia can occur due to the release of potassium ions from damaged muscle cells, but it is not a specific or characteristic finding in fat embolism syndrome.
**Option C:** Elevated levels of myoglobin are not typically associated with fat embolism syndrome, as the condition primarily involves the release of fat globules and not muscle breakdown.
**Option D:** Coagulopathy is a characteristic finding in fat embolism syndrome, characterized by prolonged coagulation times and decreased fibrinogen levels.

**Clinical Pearl / High-Yield Fact**
Fat embolism syndrome is a clinical diagnosis that requires a high index of suspicion, particularly in patients with long bone fractures. The condition can be prevented or minimized by early surgical stabilization of the fracture and the use of corticosteroids to reduce the inflammatory response.

**Correct Answer:** D. Coagulopathy is a characteristic finding in fat embolism syndrome.