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Finding the Fourth Proportional to 3,963.92, 5,946.17 and 1,190.52

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Solution

The fourth proportional to 3,963.92, 5,946.17 and 1,190.52 is: 1,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.92 : 5,946.17 = 1,190.52 : x
  2. Step 2: Convert to fraction form
    3,963.92/5,946.17 = 1,190.52/x
  3. Step 3: Cross multiply
    3,963.92x = 5,946.17 × 1,190.52
  4. Step 4: Simplify right side
    3,963.92x = 7,079,028.36
  5. Step 5: Solve for x
    x = 7,079,028.36/3,963.92
  6. Step 6: Final answer
    x = 1,785.87

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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.