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Finding the Fourth Proportional to 5,964.24, 8,230.20 and 3,311.52

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Solution

The fourth proportional to 5,964.24, 8,230.20 and 3,311.52 is: 4,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.24 : 8,230.20 = 3,311.52 : x
  2. Step 2: Convert to fraction form
    5,964.24/8,230.20 = 3,311.52/x
  3. Step 3: Cross multiply
    5,964.24x = 8,230.20 × 3,311.52
  4. Step 4: Simplify right side
    5,964.24x = 27,254,471.90
  5. Step 5: Solve for x
    x = 27,254,471.90/5,964.24
  6. Step 6: Final answer
    x = 4,569.65

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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.