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Finding the Fourth Proportional to 6,257.92, 9,384.72 and 2,560

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Solution

The fourth proportional to 6,257.92, 9,384.72 and 2,560 is: 3,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.92 : 9,384.72 = 2,560 : x
  2. Step 2: Convert to fraction form
    6,257.92/9,384.72 = 2,560/x
  3. Step 3: Cross multiply
    6,257.92x = 9,384.72 × 2,560
  4. Step 4: Simplify right side
    6,257.92x = 24,024,883.20
  5. Step 5: Solve for x
    x = 24,024,883.20/6,257.92
  6. Step 6: Final answer
    x = 3,839.12

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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.