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Finding the Fourth Proportional to 5,494.92, 8,242.38 and 4,394.13

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Solution

The fourth proportional to 5,494.92, 8,242.38 and 4,394.13 is: 6,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.92 : 8,242.38 = 4,394.13 : x
  2. Step 2: Convert to fraction form
    5,494.92/8,242.38 = 4,394.13/x
  3. Step 3: Cross multiply
    5,494.92x = 8,242.38 × 4,394.13
  4. Step 4: Simplify right side
    5,494.92x = 36,218,089.23
  5. Step 5: Solve for x
    x = 36,218,089.23/5,494.92
  6. Step 6: Final answer
    x = 6,591.20

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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.