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Finding the Fourth Proportional to 3,715.85, 5,127.80 and 2,037.26

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Solution

The fourth proportional to 3,715.85, 5,127.80 and 2,037.26 is: 2,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.85 : 5,127.80 = 2,037.26 : x
  2. Step 2: Convert to fraction form
    3,715.85/5,127.80 = 2,037.26/x
  3. Step 3: Cross multiply
    3,715.85x = 5,127.80 × 2,037.26
  4. Step 4: Simplify right side
    3,715.85x = 10,446,661.83
  5. Step 5: Solve for x
    x = 10,446,661.83/3,715.85
  6. Step 6: Final answer
    x = 2,811.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.