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Finding the Fourth Proportional to 3,223.86, 4,797.16 and 3,212.92

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Solution

The fourth proportional to 3,223.86, 4,797.16 and 3,212.92 is: 4,780.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.86 : 4,797.16 = 3,212.92 : x
  2. Step 2: Convert to fraction form
    3,223.86/4,797.16 = 3,212.92/x
  3. Step 3: Cross multiply
    3,223.86x = 4,797.16 × 3,212.92
  4. Step 4: Simplify right side
    3,223.86x = 15,412,891.31
  5. Step 5: Solve for x
    x = 15,412,891.31/3,223.86
  6. Step 6: Final answer
    x = 4,780.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.