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Finding the Fourth Proportional to 3,923.82, 5,414.96 and 2,155.44

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Solution

The fourth proportional to 3,923.82, 5,414.96 and 2,155.44 is: 2,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.82 : 5,414.96 = 2,155.44 : x
  2. Step 2: Convert to fraction form
    3,923.82/5,414.96 = 2,155.44/x
  3. Step 3: Cross multiply
    3,923.82x = 5,414.96 × 2,155.44
  4. Step 4: Simplify right side
    3,923.82x = 11,671,621.38
  5. Step 5: Solve for x
    x = 11,671,621.38/3,923.82
  6. Step 6: Final answer
    x = 2,974.56

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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.