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Finding the Fourth Proportional to 5,705.92, 7,872.32 and 3,187.62

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Solution

The fourth proportional to 5,705.92, 7,872.32 and 3,187.62 is: 4,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.92 : 7,872.32 = 3,187.62 : x
  2. Step 2: Convert to fraction form
    5,705.92/7,872.32 = 3,187.62/x
  3. Step 3: Cross multiply
    5,705.92x = 7,872.32 × 3,187.62
  4. Step 4: Simplify right side
    5,705.92x = 25,093,964.68
  5. Step 5: Solve for x
    x = 25,093,964.68/5,705.92
  6. Step 6: Final answer
    x = 4,397.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.