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Finding the Fourth Proportional to 5,481.92, 7,565.98 and 5,299.66

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Solution

The fourth proportional to 5,481.92, 7,565.98 and 5,299.66 is: 7,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.92 : 7,565.98 = 5,299.66 : x
  2. Step 2: Convert to fraction form
    5,481.92/7,565.98 = 5,299.66/x
  3. Step 3: Cross multiply
    5,481.92x = 7,565.98 × 5,299.66
  4. Step 4: Simplify right side
    5,481.92x = 40,097,121.57
  5. Step 5: Solve for x
    x = 40,097,121.57/5,481.92
  6. Step 6: Final answer
    x = 7,314.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.