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Finding the Fourth Proportional to 3,337.28, 5,005.92 and 1,512

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Solution

The fourth proportional to 3,337.28, 5,005.92 and 1,512 is: 2,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.28 : 5,005.92 = 1,512 : x
  2. Step 2: Convert to fraction form
    3,337.28/5,005.92 = 1,512/x
  3. Step 3: Cross multiply
    3,337.28x = 5,005.92 × 1,512
  4. Step 4: Simplify right side
    3,337.28x = 7,568,951.04
  5. Step 5: Solve for x
    x = 7,568,951.04/3,337.28
  6. Step 6: Final answer
    x = 2,268

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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.