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Finding the Fourth Proportional to 3,974.62, 5,958.28 and 2,024.55

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Solution

The fourth proportional to 3,974.62, 5,958.28 and 2,024.55 is: 3,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.62 : 5,958.28 = 2,024.55 : x
  2. Step 2: Convert to fraction form
    3,974.62/5,958.28 = 2,024.55/x
  3. Step 3: Cross multiply
    3,974.62x = 5,958.28 × 2,024.55
  4. Step 4: Simplify right side
    3,974.62x = 12,062,835.77
  5. Step 5: Solve for x
    x = 12,062,835.77/3,974.62
  6. Step 6: Final answer
    x = 3,034.97

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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.