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Finding the Fourth Proportional to 3,954.38, 5,439.97 and 3,419.27

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Solution

The fourth proportional to 3,954.38, 5,439.97 and 3,419.27 is: 4,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.38 : 5,439.97 = 3,419.27 : x
  2. Step 2: Convert to fraction form
    3,954.38/5,439.97 = 3,419.27/x
  3. Step 3: Cross multiply
    3,954.38x = 5,439.97 × 3,419.27
  4. Step 4: Simplify right side
    3,954.38x = 18,600,726.22
  5. Step 5: Solve for x
    x = 18,600,726.22/3,954.38
  6. Step 6: Final answer
    x = 4,703.83

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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.