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Finding the Fourth Proportional to 5,959.24, 8,223.24 and 3,306.60

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Solution

The fourth proportional to 5,959.24, 8,223.24 and 3,306.60 is: 4,562.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.24 : 8,223.24 = 3,306.60 : x
  2. Step 2: Convert to fraction form
    5,959.24/8,223.24 = 3,306.60/x
  3. Step 3: Cross multiply
    5,959.24x = 8,223.24 × 3,306.60
  4. Step 4: Simplify right side
    5,959.24x = 27,190,965.38
  5. Step 5: Solve for x
    x = 27,190,965.38/5,959.24
  6. Step 6: Final answer
    x = 4,562.82

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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.