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Finding the Fourth Proportional to 3,920.38, 5,408.20 and 2,856.49

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Solution

The fourth proportional to 3,920.38, 5,408.20 and 2,856.49 is: 3,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.38 : 5,408.20 = 2,856.49 : x
  2. Step 2: Convert to fraction form
    3,920.38/5,408.20 = 2,856.49/x
  3. Step 3: Cross multiply
    3,920.38x = 5,408.20 × 2,856.49
  4. Step 4: Simplify right side
    3,920.38x = 15,448,469.22
  5. Step 5: Solve for x
    x = 15,448,469.22/3,920.38
  6. Step 6: Final answer
    x = 3,940.55

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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.