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Finding the Fourth Proportional to 3,761.32, 5,640.20 and 1,127.80

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Solution

The fourth proportional to 3,761.32, 5,640.20 and 1,127.80 is: 1,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.32 : 5,640.20 = 1,127.80 : x
  2. Step 2: Convert to fraction form
    3,761.32/5,640.20 = 1,127.80/x
  3. Step 3: Cross multiply
    3,761.32x = 5,640.20 × 1,127.80
  4. Step 4: Simplify right side
    3,761.32x = 6,360,983.72
  5. Step 5: Solve for x
    x = 6,360,983.72/3,761.32
  6. Step 6: Final answer
    x = 1,691.16

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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.