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Finding the Fourth Proportional to 3,854.54, 5,753.91 and 3,387.45

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Solution

The fourth proportional to 3,854.54, 5,753.91 and 3,387.45 is: 5,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.54 : 5,753.91 = 3,387.45 : x
  2. Step 2: Convert to fraction form
    3,854.54/5,753.91 = 3,387.45/x
  3. Step 3: Cross multiply
    3,854.54x = 5,753.91 × 3,387.45
  4. Step 4: Simplify right side
    3,854.54x = 19,491,082.43
  5. Step 5: Solve for x
    x = 19,491,082.43/3,854.54
  6. Step 6: Final answer
    x = 5,056.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.