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Finding the Fourth Proportional to 3,882.88, 5,824.40 and 961.11

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Solution

The fourth proportional to 3,882.88, 5,824.40 and 961.11 is: 1,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.88 : 5,824.40 = 961.11 : x
  2. Step 2: Convert to fraction form
    3,882.88/5,824.40 = 961.11/x
  3. Step 3: Cross multiply
    3,882.88x = 5,824.40 × 961.11
  4. Step 4: Simplify right side
    3,882.88x = 5,597,884.28
  5. Step 5: Solve for x
    x = 5,597,884.28/3,882.88
  6. Step 6: Final answer
    x = 1,441.68

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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.