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Finding the Fourth Proportional to 3,832.44, 5,749.62 and 1,524.12

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Solution

The fourth proportional to 3,832.44, 5,749.62 and 1,524.12 is: 2,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.44 : 5,749.62 = 1,524.12 : x
  2. Step 2: Convert to fraction form
    3,832.44/5,749.62 = 1,524.12/x
  3. Step 3: Cross multiply
    3,832.44x = 5,749.62 × 1,524.12
  4. Step 4: Simplify right side
    3,832.44x = 8,763,110.83
  5. Step 5: Solve for x
    x = 8,763,110.83/3,832.44
  6. Step 6: Final answer
    x = 2,286.56

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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.