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Finding the Fourth Proportional to 3,882.42, 5,823.56 and 960.73

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Solution

The fourth proportional to 3,882.42, 5,823.56 and 960.73 is: 1,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.42 : 5,823.56 = 960.73 : x
  2. Step 2: Convert to fraction form
    3,882.42/5,823.56 = 960.73/x
  3. Step 3: Cross multiply
    3,882.42x = 5,823.56 × 960.73
  4. Step 4: Simplify right side
    3,882.42x = 5,594,839.68
  5. Step 5: Solve for x
    x = 5,594,839.68/3,882.42
  6. Step 6: Final answer
    x = 1,441.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.