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Finding the Fourth Proportional to 3,732.82, 5,600.17 and 1,392.90

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Solution

The fourth proportional to 3,732.82, 5,600.17 and 1,392.90 is: 2,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.82 : 5,600.17 = 1,392.90 : x
  2. Step 2: Convert to fraction form
    3,732.82/5,600.17 = 1,392.90/x
  3. Step 3: Cross multiply
    3,732.82x = 5,600.17 × 1,392.90
  4. Step 4: Simplify right side
    3,732.82x = 7,800,476.79
  5. Step 5: Solve for x
    x = 7,800,476.79/3,732.82
  6. Step 6: Final answer
    x = 2,089.70

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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.