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Finding the Fourth Proportional to 4,149.55, 5,731.97 and 3,854.31

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Solution

The fourth proportional to 4,149.55, 5,731.97 and 3,854.31 is: 5,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.55 : 5,731.97 = 3,854.31 : x
  2. Step 2: Convert to fraction form
    4,149.55/5,731.97 = 3,854.31/x
  3. Step 3: Cross multiply
    4,149.55x = 5,731.97 × 3,854.31
  4. Step 4: Simplify right side
    4,149.55x = 22,092,760.63
  5. Step 5: Solve for x
    x = 22,092,760.63/4,149.55
  6. Step 6: Final answer
    x = 5,324.13

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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.