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Finding the Fourth Proportional to 3,882.73, 5,824.09 and 961.03

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Solution

The fourth proportional to 3,882.73, 5,824.09 and 961.03 is: 1,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.73 : 5,824.09 = 961.03 : x
  2. Step 2: Convert to fraction form
    3,882.73/5,824.09 = 961.03/x
  3. Step 3: Cross multiply
    3,882.73x = 5,824.09 × 961.03
  4. Step 4: Simplify right side
    3,882.73x = 5,597,132.34
  5. Step 5: Solve for x
    x = 5,597,132.34/3,882.73
  6. Step 6: Final answer
    x = 1,441.55

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Double scale
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Similar ratio
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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.