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Finding the Fourth Proportional to 3,972.64, 5,958.72 and 2,023.36

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Solution

The fourth proportional to 3,972.64, 5,958.72 and 2,023.36 is: 3,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.64 : 5,958.72 = 2,023.36 : x
  2. Step 2: Convert to fraction form
    3,972.64/5,958.72 = 2,023.36/x
  3. Step 3: Cross multiply
    3,972.64x = 5,958.72 × 2,023.36
  4. Step 4: Simplify right side
    3,972.64x = 12,056,635.70
  5. Step 5: Solve for x
    x = 12,056,635.70/3,972.64
  6. Step 6: Final answer
    x = 3,034.92

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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.