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Finding the Fourth Proportional to 5,231.27, 7,836.54 and 3,151.82

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Solution

The fourth proportional to 5,231.27, 7,836.54 and 3,151.82 is: 4,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.27 : 7,836.54 = 3,151.82 : x
  2. Step 2: Convert to fraction form
    5,231.27/7,836.54 = 3,151.82/x
  3. Step 3: Cross multiply
    5,231.27x = 7,836.54 × 3,151.82
  4. Step 4: Simplify right side
    5,231.27x = 24,699,324.32
  5. Step 5: Solve for x
    x = 24,699,324.32/5,231.27
  6. Step 6: Final answer
    x = 4,721.48

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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.