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Finding the Fourth Proportional to 5,244.92, 7,866.12 and 1,546.15

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Solution

The fourth proportional to 5,244.92, 7,866.12 and 1,546.15 is: 2,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.92 : 7,866.12 = 1,546.15 : x
  2. Step 2: Convert to fraction form
    5,244.92/7,866.12 = 1,546.15/x
  3. Step 3: Cross multiply
    5,244.92x = 7,866.12 × 1,546.15
  4. Step 4: Simplify right side
    5,244.92x = 12,162,201.44
  5. Step 5: Solve for x
    x = 12,162,201.44/5,244.92
  6. Step 6: Final answer
    x = 2,318.85

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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.