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Finding the Fourth Proportional to 3,147.57, 4,338.46 and 2,306.94

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Solution

The fourth proportional to 3,147.57, 4,338.46 and 2,306.94 is: 3,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.57 : 4,338.46 = 2,306.94 : x
  2. Step 2: Convert to fraction form
    3,147.57/4,338.46 = 2,306.94/x
  3. Step 3: Cross multiply
    3,147.57x = 4,338.46 × 2,306.94
  4. Step 4: Simplify right side
    3,147.57x = 10,008,584.03
  5. Step 5: Solve for x
    x = 10,008,584.03/3,147.57
  6. Step 6: Final answer
    x = 3,179.78

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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.