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Finding the Fourth Proportional to 5,542.73, 8,314.14 and 1,647.14

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Solution

The fourth proportional to 5,542.73, 8,314.14 and 1,647.14 is: 2,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.73 : 8,314.14 = 1,647.14 : x
  2. Step 2: Convert to fraction form
    5,542.73/8,314.14 = 1,647.14/x
  3. Step 3: Cross multiply
    5,542.73x = 8,314.14 × 1,647.14
  4. Step 4: Simplify right side
    5,542.73x = 13,694,552.56
  5. Step 5: Solve for x
    x = 13,694,552.56/5,542.73
  6. Step 6: Final answer
    x = 2,470.72

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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.