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Finding the Fourth Proportional to 3,882.11, 5,823.17 and 960.47

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Solution

The fourth proportional to 3,882.11, 5,823.17 and 960.47 is: 1,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.11 : 5,823.17 = 960.47 : x
  2. Step 2: Convert to fraction form
    3,882.11/5,823.17 = 960.47/x
  3. Step 3: Cross multiply
    3,882.11x = 5,823.17 × 960.47
  4. Step 4: Simplify right side
    3,882.11x = 5,592,980.09
  5. Step 5: Solve for x
    x = 5,592,980.09/3,882.11
  6. Step 6: Final answer
    x = 1,440.71

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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.