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Finding the Fourth Proportional to 3,908.70, 5,393.43 and 2,229.66

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Solution

The fourth proportional to 3,908.70, 5,393.43 and 2,229.66 is: 3,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.70 : 5,393.43 = 2,229.66 : x
  2. Step 2: Convert to fraction form
    3,908.70/5,393.43 = 2,229.66/x
  3. Step 3: Cross multiply
    3,908.70x = 5,393.43 × 2,229.66
  4. Step 4: Simplify right side
    3,908.70x = 12,025,515.13
  5. Step 5: Solve for x
    x = 12,025,515.13/3,908.70
  6. Step 6: Final answer
    x = 3,076.60

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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.