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Finding the Fourth Proportional to 5,961.82, 8,227.26 and 3,443.74

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Solution

The fourth proportional to 5,961.82, 8,227.26 and 3,443.74 is: 4,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.82 : 8,227.26 = 3,443.74 : x
  2. Step 2: Convert to fraction form
    5,961.82/8,227.26 = 3,443.74/x
  3. Step 3: Cross multiply
    5,961.82x = 8,227.26 × 3,443.74
  4. Step 4: Simplify right side
    5,961.82x = 28,332,544.35
  5. Step 5: Solve for x
    x = 28,332,544.35/5,961.82
  6. Step 6: Final answer
    x = 4,752.33

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