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Finding the Fourth Proportional to 4,337.26, 5,974.68 and 4,114.90

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Solution

The fourth proportional to 4,337.26, 5,974.68 and 4,114.90 is: 5,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.26 : 5,974.68 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    4,337.26/5,974.68 = 4,114.90/x
  3. Step 3: Cross multiply
    4,337.26x = 5,974.68 × 4,114.90
  4. Step 4: Simplify right side
    4,337.26x = 24,585,210.73
  5. Step 5: Solve for x
    x = 24,585,210.73/4,337.26
  6. Step 6: Final answer
    x = 5,668.37

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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.