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Finding the Fourth Proportional to 5,640.85, 7,781.71 and 3,753.35

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Solution

The fourth proportional to 5,640.85, 7,781.71 and 3,753.35 is: 5,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.85 : 7,781.71 = 3,753.35 : x
  2. Step 2: Convert to fraction form
    5,640.85/7,781.71 = 3,753.35/x
  3. Step 3: Cross multiply
    5,640.85x = 7,781.71 × 3,753.35
  4. Step 4: Simplify right side
    5,640.85x = 29,207,481.23
  5. Step 5: Solve for x
    x = 29,207,481.23/5,640.85
  6. Step 6: Final answer
    x = 5,177.85

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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.