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Finding the Fourth Proportional to 3,981.92, 5,976 and 2,757.92

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Solution

The fourth proportional to 3,981.92, 5,976 and 2,757.92 is: 4,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.92 : 5,976 = 2,757.92 : x
  2. Step 2: Convert to fraction form
    3,981.92/5,976 = 2,757.92/x
  3. Step 3: Cross multiply
    3,981.92x = 5,976 × 2,757.92
  4. Step 4: Simplify right side
    3,981.92x = 16,481,329.92
  5. Step 5: Solve for x
    x = 16,481,329.92/3,981.92
  6. Step 6: Final answer
    x = 4,139.04

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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.