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Finding the Fourth Proportional to 4,162, 6,233.28 and 3,293.68

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Solution

The fourth proportional to 4,162, 6,233.28 and 3,293.68 is: 4,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162 : 6,233.28 = 3,293.68 : x
  2. Step 2: Convert to fraction form
    4,162/6,233.28 = 3,293.68/x
  3. Step 3: Cross multiply
    4,162x = 6,233.28 × 3,293.68
  4. Step 4: Simplify right side
    4,162x = 20,530,429.67
  5. Step 5: Solve for x
    x = 20,530,429.67/4,162
  6. Step 6: Final answer
    x = 4,932.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.