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Finding the Fourth Proportional to 8,229.69, 12,344.52 and 2,965.40

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Solution

The fourth proportional to 8,229.69, 12,344.52 and 2,965.40 is: 4,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.69 : 12,344.52 = 2,965.40 : x
  2. Step 2: Convert to fraction form
    8,229.69/12,344.52 = 2,965.40/x
  3. Step 3: Cross multiply
    8,229.69x = 12,344.52 × 2,965.40
  4. Step 4: Simplify right side
    8,229.69x = 36,606,377.89
  5. Step 5: Solve for x
    x = 36,606,377.89/8,229.69
  6. Step 6: Final answer
    x = 4,448.09

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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.