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Finding the Fourth Proportional to 3,948.75, 5,923.17 and 1,351.89

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Solution

The fourth proportional to 3,948.75, 5,923.17 and 1,351.89 is: 2,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.75 : 5,923.17 = 1,351.89 : x
  2. Step 2: Convert to fraction form
    3,948.75/5,923.17 = 1,351.89/x
  3. Step 3: Cross multiply
    3,948.75x = 5,923.17 × 1,351.89
  4. Step 4: Simplify right side
    3,948.75x = 8,007,474.29
  5. Step 5: Solve for x
    x = 8,007,474.29/3,948.75
  6. Step 6: Final answer
    x = 2,027.85

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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.