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Finding the Fourth Proportional to 3,832.67, 5,753.02 and 3,396.71

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Solution

The fourth proportional to 3,832.67, 5,753.02 and 3,396.71 is: 5,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.67 : 5,753.02 = 3,396.71 : x
  2. Step 2: Convert to fraction form
    3,832.67/5,753.02 = 3,396.71/x
  3. Step 3: Cross multiply
    3,832.67x = 5,753.02 × 3,396.71
  4. Step 4: Simplify right side
    3,832.67x = 19,541,346.11
  5. Step 5: Solve for x
    x = 19,541,346.11/3,832.67
  6. Step 6: Final answer
    x = 5,098.63

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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.