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Finding the Fourth Proportional to 3,963.48, 5,945.28 and 1,499.46

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Solution

The fourth proportional to 3,963.48, 5,945.28 and 1,499.46 is: 2,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.48 : 5,945.28 = 1,499.46 : x
  2. Step 2: Convert to fraction form
    3,963.48/5,945.28 = 1,499.46/x
  3. Step 3: Cross multiply
    3,963.48x = 5,945.28 × 1,499.46
  4. Step 4: Simplify right side
    3,963.48x = 8,914,709.55
  5. Step 5: Solve for x
    x = 8,914,709.55/3,963.48
  6. Step 6: Final answer
    x = 2,249.21

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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.