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Finding the Fourth Proportional to 5,964.59, 8,231.16 and 3,311.99

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Solution

The fourth proportional to 5,964.59, 8,231.16 and 3,311.99 is: 4,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.59 : 8,231.16 = 3,311.99 : x
  2. Step 2: Convert to fraction form
    5,964.59/8,231.16 = 3,311.99/x
  3. Step 3: Cross multiply
    5,964.59x = 8,231.16 × 3,311.99
  4. Step 4: Simplify right side
    5,964.59x = 27,261,519.61
  5. Step 5: Solve for x
    x = 27,261,519.61/5,964.59
  6. Step 6: Final answer
    x = 4,570.56

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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.