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Finding the Fourth Proportional to 5,705.38, 7,872.97 and 3,187.29

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Solution

The fourth proportional to 5,705.38, 7,872.97 and 3,187.29 is: 4,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.38 : 7,872.97 = 3,187.29 : x
  2. Step 2: Convert to fraction form
    5,705.38/7,872.97 = 3,187.29/x
  3. Step 3: Cross multiply
    5,705.38x = 7,872.97 × 3,187.29
  4. Step 4: Simplify right side
    5,705.38x = 25,093,438.55
  5. Step 5: Solve for x
    x = 25,093,438.55/5,705.38
  6. Step 6: Final answer
    x = 4,398.21

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Why These Related Problems?

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