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Finding the Fourth Proportional to 3,949.62, 5,924.03 and 1,027.92

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Solution

The fourth proportional to 3,949.62, 5,924.03 and 1,027.92 is: 1,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.62 : 5,924.03 = 1,027.92 : x
  2. Step 2: Convert to fraction form
    3,949.62/5,924.03 = 1,027.92/x
  3. Step 3: Cross multiply
    3,949.62x = 5,924.03 × 1,027.92
  4. Step 4: Simplify right side
    3,949.62x = 6,089,451.78
  5. Step 5: Solve for x
    x = 6,089,451.78/3,949.62
  6. Step 6: Final answer
    x = 1,541.78

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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.