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Finding the Fourth Proportional to 3,979.82, 5,972.92 and 2,337.75

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Solution

The fourth proportional to 3,979.82, 5,972.92 and 2,337.75 is: 3,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.82 : 5,972.92 = 2,337.75 : x
  2. Step 2: Convert to fraction form
    3,979.82/5,972.92 = 2,337.75/x
  3. Step 3: Cross multiply
    3,979.82x = 5,972.92 × 2,337.75
  4. Step 4: Simplify right side
    3,979.82x = 13,963,193.73
  5. Step 5: Solve for x
    x = 13,963,193.73/3,979.82
  6. Step 6: Final answer
    x = 3,508.50

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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.