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Finding the Fourth Proportional to 3,963.42, 5,469.78 and 2,195.22

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Solution

The fourth proportional to 3,963.42, 5,469.78 and 2,195.22 is: 3,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.42 : 5,469.78 = 2,195.22 : x
  2. Step 2: Convert to fraction form
    3,963.42/5,469.78 = 2,195.22/x
  3. Step 3: Cross multiply
    3,963.42x = 5,469.78 × 2,195.22
  4. Step 4: Simplify right side
    3,963.42x = 12,007,370.45
  5. Step 5: Solve for x
    x = 12,007,370.45/3,963.42
  6. Step 6: Final answer
    x = 3,029.55

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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.