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Finding the Fourth Proportional to 3,922.18, 5,882.10 and 1,147.99

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Solution

The fourth proportional to 3,922.18, 5,882.10 and 1,147.99 is: 1,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.18 : 5,882.10 = 1,147.99 : x
  2. Step 2: Convert to fraction form
    3,922.18/5,882.10 = 1,147.99/x
  3. Step 3: Cross multiply
    3,922.18x = 5,882.10 × 1,147.99
  4. Step 4: Simplify right side
    3,922.18x = 6,752,591.98
  5. Step 5: Solve for x
    x = 6,752,591.98/3,922.18
  6. Step 6: Final answer
    x = 1,721.64

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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.