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Finding the Fourth Proportional to 3,963.96, 5,470.31 and 2,195.61

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Solution

The fourth proportional to 3,963.96, 5,470.31 and 2,195.61 is: 3,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.96 : 5,470.31 = 2,195.61 : x
  2. Step 2: Convert to fraction form
    3,963.96/5,470.31 = 2,195.61/x
  3. Step 3: Cross multiply
    3,963.96x = 5,470.31 × 2,195.61
  4. Step 4: Simplify right side
    3,963.96x = 12,010,644.08
  5. Step 5: Solve for x
    x = 12,010,644.08/3,963.96
  6. Step 6: Final answer
    x = 3,029.96

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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.