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Finding the Fourth Proportional to 5,260.72, 7,892.52 and 1,562.88

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Solution

The fourth proportional to 5,260.72, 7,892.52 and 1,562.88 is: 2,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.72 : 7,892.52 = 1,562.88 : x
  2. Step 2: Convert to fraction form
    5,260.72/7,892.52 = 1,562.88/x
  3. Step 3: Cross multiply
    5,260.72x = 7,892.52 × 1,562.88
  4. Step 4: Simplify right side
    5,260.72x = 12,335,061.66
  5. Step 5: Solve for x
    x = 12,335,061.66/5,260.72
  6. Step 6: Final answer
    x = 2,344.75

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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.