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Finding the Fourth Proportional to 3,832.12, 5,747.07 and 1,751.02

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Solution

The fourth proportional to 3,832.12, 5,747.07 and 1,751.02 is: 2,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.12 : 5,747.07 = 1,751.02 : x
  2. Step 2: Convert to fraction form
    3,832.12/5,747.07 = 1,751.02/x
  3. Step 3: Cross multiply
    3,832.12x = 5,747.07 × 1,751.02
  4. Step 4: Simplify right side
    3,832.12x = 10,063,234.51
  5. Step 5: Solve for x
    x = 10,063,234.51/3,832.12
  6. Step 6: Final answer
    x = 2,626.02

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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.