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Finding the Fourth Proportional to 5,961.86, 8,227.23 and 3,309.23

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Solution

The fourth proportional to 5,961.86, 8,227.23 and 3,309.23 is: 4,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.86 : 8,227.23 = 3,309.23 : x
  2. Step 2: Convert to fraction form
    5,961.86/8,227.23 = 3,309.23/x
  3. Step 3: Cross multiply
    5,961.86x = 8,227.23 × 3,309.23
  4. Step 4: Simplify right side
    5,961.86x = 27,225,796.33
  5. Step 5: Solve for x
    x = 27,225,796.33/5,961.86
  6. Step 6: Final answer
    x = 4,566.66

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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.