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Finding the Fourth Proportional to 5,964.54, 8,231.02 and 3,311.94

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Solution

The fourth proportional to 5,964.54, 8,231.02 and 3,311.94 is: 4,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.54 : 8,231.02 = 3,311.94 : x
  2. Step 2: Convert to fraction form
    5,964.54/8,231.02 = 3,311.94/x
  3. Step 3: Cross multiply
    5,964.54x = 8,231.02 × 3,311.94
  4. Step 4: Simplify right side
    5,964.54x = 27,260,620.67
  5. Step 5: Solve for x
    x = 27,260,620.67/5,964.54
  6. Step 6: Final answer
    x = 4,570.45

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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.