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Finding the Fourth Proportional to 3,974.36, 5,952.06 and 3,149.96

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Solution

The fourth proportional to 3,974.36, 5,952.06 and 3,149.96 is: 4,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.36 : 5,952.06 = 3,149.96 : x
  2. Step 2: Convert to fraction form
    3,974.36/5,952.06 = 3,149.96/x
  3. Step 3: Cross multiply
    3,974.36x = 5,952.06 × 3,149.96
  4. Step 4: Simplify right side
    3,974.36x = 18,748,721.16
  5. Step 5: Solve for x
    x = 18,748,721.16/3,974.36
  6. Step 6: Final answer
    x = 4,717.42

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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.