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Finding the Fourth Proportional to 3,800.32, 5,691.84 and 1,744

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Solution

The fourth proportional to 3,800.32, 5,691.84 and 1,744 is: 2,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.32 : 5,691.84 = 1,744 : x
  2. Step 2: Convert to fraction form
    3,800.32/5,691.84 = 1,744/x
  3. Step 3: Cross multiply
    3,800.32x = 5,691.84 × 1,744
  4. Step 4: Simplify right side
    3,800.32x = 9,926,568.96
  5. Step 5: Solve for x
    x = 9,926,568.96/3,800.32
  6. Step 6: Final answer
    x = 2,612.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.