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Finding the Fourth Proportional to 3,832.16, 5,744.92 and 1,751.44

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Solution

The fourth proportional to 3,832.16, 5,744.92 and 1,751.44 is: 2,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.16 : 5,744.92 = 1,751.44 : x
  2. Step 2: Convert to fraction form
    3,832.16/5,744.92 = 1,751.44/x
  3. Step 3: Cross multiply
    3,832.16x = 5,744.92 × 1,751.44
  4. Step 4: Simplify right side
    3,832.16x = 10,061,882.68
  5. Step 5: Solve for x
    x = 10,061,882.68/3,832.16
  6. Step 6: Final answer
    x = 2,625.64

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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.