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Finding the Fourth Proportional to 5,167.87, 7,747.44 and 2,243.97

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Solution

The fourth proportional to 5,167.87, 7,747.44 and 2,243.97 is: 3,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.87 : 7,747.44 = 2,243.97 : x
  2. Step 2: Convert to fraction form
    5,167.87/7,747.44 = 2,243.97/x
  3. Step 3: Cross multiply
    5,167.87x = 7,747.44 × 2,243.97
  4. Step 4: Simplify right side
    5,167.87x = 17,385,022.94
  5. Step 5: Solve for x
    x = 17,385,022.94/5,167.87
  6. Step 6: Final answer
    x = 3,364.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.