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Finding the Fourth Proportional to 5,959.32, 8,223.92 and 3,306.75

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Solution

The fourth proportional to 5,959.32, 8,223.92 and 3,306.75 is: 4,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.32 : 8,223.92 = 3,306.75 : x
  2. Step 2: Convert to fraction form
    5,959.32/8,223.92 = 3,306.75/x
  3. Step 3: Cross multiply
    5,959.32x = 8,223.92 × 3,306.75
  4. Step 4: Simplify right side
    5,959.32x = 27,194,447.46
  5. Step 5: Solve for x
    x = 27,194,447.46/5,959.32
  6. Step 6: Final answer
    x = 4,563.35

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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.