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Finding the Fourth Proportional to 3,832.14, 5,750.16 and 1,751.88

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Solution

The fourth proportional to 3,832.14, 5,750.16 and 1,751.88 is: 2,628.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.14 : 5,750.16 = 1,751.88 : x
  2. Step 2: Convert to fraction form
    3,832.14/5,750.16 = 1,751.88/x
  3. Step 3: Cross multiply
    3,832.14x = 5,750.16 × 1,751.88
  4. Step 4: Simplify right side
    3,832.14x = 10,073,590.30
  5. Step 5: Solve for x
    x = 10,073,590.30/3,832.14
  6. Step 6: Final answer
    x = 2,628.71

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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.