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Finding the Fourth Proportional to 3,961.97, 5,952.21 and 3,408.40

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Solution

The fourth proportional to 3,961.97, 5,952.21 and 3,408.40 is: 5,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.97 : 5,952.21 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    3,961.97/5,952.21 = 3,408.40/x
  3. Step 3: Cross multiply
    3,961.97x = 5,952.21 × 3,408.40
  4. Step 4: Simplify right side
    3,961.97x = 20,287,512.56
  5. Step 5: Solve for x
    x = 20,287,512.56/3,961.97
  6. Step 6: Final answer
    x = 5,120.56

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1.5x scale

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.