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Finding the Fourth Proportional to 5,947.71, 8,921.67 and 2,251.68

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Solution

The fourth proportional to 5,947.71, 8,921.67 and 2,251.68 is: 3,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.71 : 8,921.67 = 2,251.68 : x
  2. Step 2: Convert to fraction form
    5,947.71/8,921.67 = 2,251.68/x
  3. Step 3: Cross multiply
    5,947.71x = 8,921.67 × 2,251.68
  4. Step 4: Simplify right side
    5,947.71x = 20,088,745.91
  5. Step 5: Solve for x
    x = 20,088,745.91/5,947.71
  6. Step 6: Final answer
    x = 3,377.56

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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.