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Finding the Fourth Proportional to 4,843.38, 6,687.81 and 3,947.25

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Solution

The fourth proportional to 4,843.38, 6,687.81 and 3,947.25 is: 5,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.38 : 6,687.81 = 3,947.25 : x
  2. Step 2: Convert to fraction form
    4,843.38/6,687.81 = 3,947.25/x
  3. Step 3: Cross multiply
    4,843.38x = 6,687.81 × 3,947.25
  4. Step 4: Simplify right side
    4,843.38x = 26,398,458.02
  5. Step 5: Solve for x
    x = 26,398,458.02/4,843.38
  6. Step 6: Final answer
    x = 5,450.42

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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.