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Finding the Fourth Proportional to 4,257.52, 6,387.84 and 1,792.96

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Solution

The fourth proportional to 4,257.52, 6,387.84 and 1,792.96 is: 2,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.52 : 6,387.84 = 1,792.96 : x
  2. Step 2: Convert to fraction form
    4,257.52/6,387.84 = 1,792.96/x
  3. Step 3: Cross multiply
    4,257.52x = 6,387.84 × 1,792.96
  4. Step 4: Simplify right side
    4,257.52x = 11,453,141.61
  5. Step 5: Solve for x
    x = 11,453,141.61/4,257.52
  6. Step 6: Final answer
    x = 2,690.10

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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.