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Finding the Fourth Proportional to 5,964.50, 8,231.14 and 3,311.86

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Solution

The fourth proportional to 5,964.50, 8,231.14 and 3,311.86 is: 4,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.50 : 8,231.14 = 3,311.86 : x
  2. Step 2: Convert to fraction form
    5,964.50/8,231.14 = 3,311.86/x
  3. Step 3: Cross multiply
    5,964.50x = 8,231.14 × 3,311.86
  4. Step 4: Simplify right side
    5,964.50x = 27,260,383.32
  5. Step 5: Solve for x
    x = 27,260,383.32/5,964.50
  6. Step 6: Final answer
    x = 4,570.44

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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.