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Finding the Fourth Proportional to 3,882.75, 5,824.17 and 961.08

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Solution

The fourth proportional to 3,882.75, 5,824.17 and 961.08 is: 1,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.75 : 5,824.17 = 961.08 : x
  2. Step 2: Convert to fraction form
    3,882.75/5,824.17 = 961.08/x
  3. Step 3: Cross multiply
    3,882.75x = 5,824.17 × 961.08
  4. Step 4: Simplify right side
    3,882.75x = 5,597,493.30
  5. Step 5: Solve for x
    x = 5,597,493.30/3,882.75
  6. Step 6: Final answer
    x = 1,441.63

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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.