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Finding the Fourth Proportional to 3,963.52, 5,946.23 and 1,331.03

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Solution

The fourth proportional to 3,963.52, 5,946.23 and 1,331.03 is: 1,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.52 : 5,946.23 = 1,331.03 : x
  2. Step 2: Convert to fraction form
    3,963.52/5,946.23 = 1,331.03/x
  3. Step 3: Cross multiply
    3,963.52x = 5,946.23 × 1,331.03
  4. Step 4: Simplify right side
    3,963.52x = 7,914,610.52
  5. Step 5: Solve for x
    x = 7,914,610.52/3,963.52
  6. Step 6: Final answer
    x = 1,996.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.