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Finding the Fourth Proportional to 3,906.74, 5,391.15 and 2,228.24

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Solution

The fourth proportional to 3,906.74, 5,391.15 and 2,228.24 is: 3,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.74 : 5,391.15 = 2,228.24 : x
  2. Step 2: Convert to fraction form
    3,906.74/5,391.15 = 2,228.24/x
  3. Step 3: Cross multiply
    3,906.74x = 5,391.15 × 2,228.24
  4. Step 4: Simplify right side
    3,906.74x = 12,012,776.08
  5. Step 5: Solve for x
    x = 12,012,776.08/3,906.74
  6. Step 6: Final answer
    x = 3,074.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.