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Finding the Fourth Proportional to 3,963.69, 5,469.81 and 2,195.31

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Solution

The fourth proportional to 3,963.69, 5,469.81 and 2,195.31 is: 3,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.69 : 5,469.81 = 2,195.31 : x
  2. Step 2: Convert to fraction form
    3,963.69/5,469.81 = 2,195.31/x
  3. Step 3: Cross multiply
    3,963.69x = 5,469.81 × 2,195.31
  4. Step 4: Simplify right side
    3,963.69x = 12,007,928.59
  5. Step 5: Solve for x
    x = 12,007,928.59/3,963.69
  6. Step 6: Final answer
    x = 3,029.48

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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.