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Finding the Fourth Proportional to 5,244.30, 7,882.65 and 5,147.10

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Solution

The fourth proportional to 5,244.30, 7,882.65 and 5,147.10 is: 7,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.30 : 7,882.65 = 5,147.10 : x
  2. Step 2: Convert to fraction form
    5,244.30/7,882.65 = 5,147.10/x
  3. Step 3: Cross multiply
    5,244.30x = 7,882.65 × 5,147.10
  4. Step 4: Simplify right side
    5,244.30x = 40,572,787.82
  5. Step 5: Solve for x
    x = 40,572,787.82/5,244.30
  6. Step 6: Final answer
    x = 7,736.55

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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.