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Finding the Fourth Proportional to 4,138.66, 5,711.91 and 3,744.09

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Solution

The fourth proportional to 4,138.66, 5,711.91 and 3,744.09 is: 5,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.66 : 5,711.91 = 3,744.09 : x
  2. Step 2: Convert to fraction form
    4,138.66/5,711.91 = 3,744.09/x
  3. Step 3: Cross multiply
    4,138.66x = 5,711.91 × 3,744.09
  4. Step 4: Simplify right side
    4,138.66x = 21,385,891.07
  5. Step 5: Solve for x
    x = 21,385,891.07/4,138.66
  6. Step 6: Final answer
    x = 5,167.35

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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.