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Finding the Fourth Proportional to 3,761.68, 5,635.86 and 2,530.12

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Solution

The fourth proportional to 3,761.68, 5,635.86 and 2,530.12 is: 3,790.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.68 : 5,635.86 = 2,530.12 : x
  2. Step 2: Convert to fraction form
    3,761.68/5,635.86 = 2,530.12/x
  3. Step 3: Cross multiply
    3,761.68x = 5,635.86 × 2,530.12
  4. Step 4: Simplify right side
    3,761.68x = 14,259,402.10
  5. Step 5: Solve for x
    x = 14,259,402.10/3,761.68
  6. Step 6: Final answer
    x = 3,790.70

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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.