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Finding the Fourth Proportional to 5,961.71, 8,227.25 and 3,309.29

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Solution

The fourth proportional to 5,961.71, 8,227.25 and 3,309.29 is: 4,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.71 : 8,227.25 = 3,309.29 : x
  2. Step 2: Convert to fraction form
    5,961.71/8,227.25 = 3,309.29/x
  3. Step 3: Cross multiply
    5,961.71x = 8,227.25 × 3,309.29
  4. Step 4: Simplify right side
    5,961.71x = 27,226,356.15
  5. Step 5: Solve for x
    x = 27,226,356.15/5,961.71
  6. Step 6: Final answer
    x = 4,566.87

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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.