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Finding the Fourth Proportional to 3,906.50, 5,391.61 and 2,251.46

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Solution

The fourth proportional to 3,906.50, 5,391.61 and 2,251.46 is: 3,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.50 : 5,391.61 = 2,251.46 : x
  2. Step 2: Convert to fraction form
    3,906.50/5,391.61 = 2,251.46/x
  3. Step 3: Cross multiply
    3,906.50x = 5,391.61 × 2,251.46
  4. Step 4: Simplify right side
    3,906.50x = 12,138,994.25
  5. Step 5: Solve for x
    x = 12,138,994.25/3,906.50
  6. Step 6: Final answer
    x = 3,107.38

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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.