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Finding the Fourth Proportional to 5,616.81, 8,414.42 and 3,144.15

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Solution

The fourth proportional to 5,616.81, 8,414.42 and 3,144.15 is: 4,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.81 : 8,414.42 = 3,144.15 : x
  2. Step 2: Convert to fraction form
    5,616.81/8,414.42 = 3,144.15/x
  3. Step 3: Cross multiply
    5,616.81x = 8,414.42 × 3,144.15
  4. Step 4: Simplify right side
    5,616.81x = 26,456,182.92
  5. Step 5: Solve for x
    x = 26,456,182.92/5,616.81
  6. Step 6: Final answer
    x = 4,710.18

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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.