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Finding the Fourth Proportional to 5,761.82, 7,951.02 and 3,244.52

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Solution

The fourth proportional to 5,761.82, 7,951.02 and 3,244.52 is: 4,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.82 : 7,951.02 = 3,244.52 : x
  2. Step 2: Convert to fraction form
    5,761.82/7,951.02 = 3,244.52/x
  3. Step 3: Cross multiply
    5,761.82x = 7,951.02 × 3,244.52
  4. Step 4: Simplify right side
    5,761.82x = 25,797,243.41
  5. Step 5: Solve for x
    x = 25,797,243.41/5,761.82
  6. Step 6: Final answer
    x = 4,477.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.