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Finding the Fourth Proportional to 3,866.52, 5,358.24 and 3,792.66

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Solution

The fourth proportional to 3,866.52, 5,358.24 and 3,792.66 is: 5,255.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.52 : 5,358.24 = 3,792.66 : x
  2. Step 2: Convert to fraction form
    3,866.52/5,358.24 = 3,792.66/x
  3. Step 3: Cross multiply
    3,866.52x = 5,358.24 × 3,792.66
  4. Step 4: Simplify right side
    3,866.52x = 20,321,982.52
  5. Step 5: Solve for x
    x = 20,321,982.52/3,866.52
  6. Step 6: Final answer
    x = 5,255.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.