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Finding the Fourth Proportional to 5,961.38, 8,226.70 and 3,309.21

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Solution

The fourth proportional to 5,961.38, 8,226.70 and 3,309.21 is: 4,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.38 : 8,226.70 = 3,309.21 : x
  2. Step 2: Convert to fraction form
    5,961.38/8,226.70 = 3,309.21/x
  3. Step 3: Cross multiply
    5,961.38x = 8,226.70 × 3,309.21
  4. Step 4: Simplify right side
    5,961.38x = 27,223,869.63
  5. Step 5: Solve for x
    x = 27,223,869.63/5,961.38
  6. Step 6: Final answer
    x = 4,566.71

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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.