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Finding the Fourth Proportional to 5,049.38, 6,969.11 and 3,344.87

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Solution

The fourth proportional to 5,049.38, 6,969.11 and 3,344.87 is: 4,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.38 : 6,969.11 = 3,344.87 : x
  2. Step 2: Convert to fraction form
    5,049.38/6,969.11 = 3,344.87/x
  3. Step 3: Cross multiply
    5,049.38x = 6,969.11 × 3,344.87
  4. Step 4: Simplify right side
    5,049.38x = 23,310,767.66
  5. Step 5: Solve for x
    x = 23,310,767.66/5,049.38
  6. Step 6: Final answer
    x = 4,616.56

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Why These Related Problems?

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