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Finding the Fourth Proportional to 5,964.62, 8,229.85 and 3,606.71

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Solution

The fourth proportional to 5,964.62, 8,229.85 and 3,606.71 is: 4,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.62 : 8,229.85 = 3,606.71 : x
  2. Step 2: Convert to fraction form
    5,964.62/8,229.85 = 3,606.71/x
  3. Step 3: Cross multiply
    5,964.62x = 8,229.85 × 3,606.71
  4. Step 4: Simplify right side
    5,964.62x = 29,682,682.29
  5. Step 5: Solve for x
    x = 29,682,682.29/5,964.62
  6. Step 6: Final answer
    x = 4,976.46

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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.