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Finding the Fourth Proportional to 3,715.77, 5,127.77 and 2,037.15

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Solution

The fourth proportional to 3,715.77, 5,127.77 and 2,037.15 is: 2,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.77 : 5,127.77 = 2,037.15 : x
  2. Step 2: Convert to fraction form
    3,715.77/5,127.77 = 2,037.15/x
  3. Step 3: Cross multiply
    3,715.77x = 5,127.77 × 2,037.15
  4. Step 4: Simplify right side
    3,715.77x = 10,446,036.66
  5. Step 5: Solve for x
    x = 10,446,036.66/3,715.77
  6. Step 6: Final answer
    x = 2,811.27

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