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Finding the Fourth Proportional to 5,963.78, 8,230.20 and 3,311.66

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Solution

The fourth proportional to 5,963.78, 8,230.20 and 3,311.66 is: 4,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.78 : 8,230.20 = 3,311.66 : x
  2. Step 2: Convert to fraction form
    5,963.78/8,230.20 = 3,311.66/x
  3. Step 3: Cross multiply
    5,963.78x = 8,230.20 × 3,311.66
  4. Step 4: Simplify right side
    5,963.78x = 27,255,624.13
  5. Step 5: Solve for x
    x = 27,255,624.13/5,963.78
  6. Step 6: Final answer
    x = 4,570.19

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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.