Final answer:
The continent with a mountain range that stretches for 4,500 miles is South America, home to the Andes Mountains, which are the longest mountain range in the world.
Step-by-step explanation:
The continent with a mountain range that is almost 4,500 miles long is South America. This mountain range is the Andes Mountains, which are the longest continental mountain range in the world. They stretch along the entire western coast of South America, from Venezuela all the way down to southern Chile. The Andes are not only significant for their length but also for their height, with more than 30 peaks rising to at least 20,000 feet. This mountain chain is a defining feature of South America's physical geography, a region that also includes vast cultural diversity and rich histories.