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Finding the Fourth Proportional to 8,229.58, 12,344.94 and 2,965.66

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Solution

The fourth proportional to 8,229.58, 12,344.94 and 2,965.66 is: 4,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.58 : 12,344.94 = 2,965.66 : x
  2. Step 2: Convert to fraction form
    8,229.58/12,344.94 = 2,965.66/x
  3. Step 3: Cross multiply
    8,229.58x = 12,344.94 × 2,965.66
  4. Step 4: Simplify right side
    8,229.58x = 36,610,894.76
  5. Step 5: Solve for x
    x = 36,610,894.76/8,229.58
  6. Step 6: Final answer
    x = 4,448.70

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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.