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Finding the Fourth Proportional to 3,902.88, 5,854.24 and 981.20

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Solution

The fourth proportional to 3,902.88, 5,854.24 and 981.20 is: 1,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.88 : 5,854.24 = 981.20 : x
  2. Step 2: Convert to fraction form
    3,902.88/5,854.24 = 981.20/x
  3. Step 3: Cross multiply
    3,902.88x = 5,854.24 × 981.20
  4. Step 4: Simplify right side
    3,902.88x = 5,744,180.29
  5. Step 5: Solve for x
    x = 5,744,180.29/3,902.88
  6. Step 6: Final answer
    x = 1,471.78

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1.5x scale

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.