A 9-year-old girl with a history of acute lymphoblastic leukemia and an indwelling central venous catheter presents with a fever of 39.2°C (102.6°F), a heart rate of 140 beats/minute, and a blood pressure of 85/40 mmHg. Her extremities are flushed and warm, with bounding peripheral pulses and a flash capillary refill. This presentation is most characteristic of which type of shock?