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Finding the Fourth Proportional to 5,542.89, 8,305.49 and 3,880.17

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Solution

The fourth proportional to 5,542.89, 8,305.49 and 3,880.17 is: 5,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.89 : 8,305.49 = 3,880.17 : x
  2. Step 2: Convert to fraction form
    5,542.89/8,305.49 = 3,880.17/x
  3. Step 3: Cross multiply
    5,542.89x = 8,305.49 × 3,880.17
  4. Step 4: Simplify right side
    5,542.89x = 32,226,693.73
  5. Step 5: Solve for x
    x = 32,226,693.73/5,542.89
  6. Step 6: Final answer
    x = 5,814.06

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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.