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Finding the Fourth Proportional to 5,964.09, 8,230.47 and 3,311.49

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Solution

The fourth proportional to 5,964.09, 8,230.47 and 3,311.49 is: 4,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.09 : 8,230.47 = 3,311.49 : x
  2. Step 2: Convert to fraction form
    5,964.09/8,230.47 = 3,311.49/x
  3. Step 3: Cross multiply
    5,964.09x = 8,230.47 × 3,311.49
  4. Step 4: Simplify right side
    5,964.09x = 27,255,119.10
  5. Step 5: Solve for x
    x = 27,255,119.10/5,964.09
  6. Step 6: Final answer
    x = 4,569.87

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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.