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Finding the Fourth Proportional to 3,712.59, 5,564.68 and 1,520.13

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Solution

The fourth proportional to 3,712.59, 5,564.68 and 1,520.13 is: 2,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.59 : 5,564.68 = 1,520.13 : x
  2. Step 2: Convert to fraction form
    3,712.59/5,564.68 = 1,520.13/x
  3. Step 3: Cross multiply
    3,712.59x = 5,564.68 × 1,520.13
  4. Step 4: Simplify right side
    3,712.59x = 8,459,037.01
  5. Step 5: Solve for x
    x = 8,459,037.01/3,712.59
  6. Step 6: Final answer
    x = 2,278.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.