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Finding the Fourth Proportional to 3,761.60, 5,635.38 and 3,149.24

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Solution

The fourth proportional to 3,761.60, 5,635.38 and 3,149.24 is: 4,717.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.60 : 5,635.38 = 3,149.24 : x
  2. Step 2: Convert to fraction form
    3,761.60/5,635.38 = 3,149.24/x
  3. Step 3: Cross multiply
    3,761.60x = 5,635.38 × 3,149.24
  4. Step 4: Simplify right side
    3,761.60x = 17,747,164.11
  5. Step 5: Solve for x
    x = 17,747,164.11/3,761.60
  6. Step 6: Final answer
    x = 4,717.98

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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.