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Finding the Fourth Proportional to 5,965.80, 8,231.84 and 3,313.14

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Solution

The fourth proportional to 5,965.80, 8,231.84 and 3,313.14 is: 4,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.80 : 8,231.84 = 3,313.14 : x
  2. Step 2: Convert to fraction form
    5,965.80/8,231.84 = 3,313.14/x
  3. Step 3: Cross multiply
    5,965.80x = 8,231.84 × 3,313.14
  4. Step 4: Simplify right side
    5,965.80x = 27,273,238.38
  5. Step 5: Solve for x
    x = 27,273,238.38/5,965.80
  6. Step 6: Final answer
    x = 4,571.60

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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.