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Finding the Fourth Proportional to 3,947.92, 5,447.91 and 2,455.80

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Solution

The fourth proportional to 3,947.92, 5,447.91 and 2,455.80 is: 3,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.92 : 5,447.91 = 2,455.80 : x
  2. Step 2: Convert to fraction form
    3,947.92/5,447.91 = 2,455.80/x
  3. Step 3: Cross multiply
    3,947.92x = 5,447.91 × 2,455.80
  4. Step 4: Simplify right side
    3,947.92x = 13,378,977.38
  5. Step 5: Solve for x
    x = 13,378,977.38/3,947.92
  6. Step 6: Final answer
    x = 3,388.87

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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.