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Finding the Fourth Proportional to 3,948.92, 5,923.38 and 1,351.88

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Solution

The fourth proportional to 3,948.92, 5,923.38 and 1,351.88 is: 2,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.92 : 5,923.38 = 1,351.88 : x
  2. Step 2: Convert to fraction form
    3,948.92/5,923.38 = 1,351.88/x
  3. Step 3: Cross multiply
    3,948.92x = 5,923.38 × 1,351.88
  4. Step 4: Simplify right side
    3,948.92x = 8,007,698.95
  5. Step 5: Solve for x
    x = 8,007,698.95/3,948.92
  6. Step 6: Final answer
    x = 2,027.82

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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.