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Finding the Fourth Proportional to 5,974.11, 8,244.42 and 3,321.78

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Solution

The fourth proportional to 5,974.11, 8,244.42 and 3,321.78 is: 4,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.11 : 8,244.42 = 3,321.78 : x
  2. Step 2: Convert to fraction form
    5,974.11/8,244.42 = 3,321.78/x
  3. Step 3: Cross multiply
    5,974.11x = 8,244.42 × 3,321.78
  4. Step 4: Simplify right side
    5,974.11x = 27,386,149.47
  5. Step 5: Solve for x
    x = 27,386,149.47/5,974.11
  6. Step 6: Final answer
    x = 4,584.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.