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Finding the Fourth Proportional to 3,960.96, 5,454.98 and 3,874.85

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Solution

The fourth proportional to 3,960.96, 5,454.98 and 3,874.85 is: 5,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.96 : 5,454.98 = 3,874.85 : x
  2. Step 2: Convert to fraction form
    3,960.96/5,454.98 = 3,874.85/x
  3. Step 3: Cross multiply
    3,960.96x = 5,454.98 × 3,874.85
  4. Step 4: Simplify right side
    3,960.96x = 21,137,229.25
  5. Step 5: Solve for x
    x = 21,137,229.25/3,960.96
  6. Step 6: Final answer
    x = 5,336.39

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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.