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Finding the Fourth Proportional to 3,793.32, 5,694.84 and 3,219.84

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Solution

The fourth proportional to 3,793.32, 5,694.84 and 3,219.84 is: 4,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.32 : 5,694.84 = 3,219.84 : x
  2. Step 2: Convert to fraction form
    3,793.32/5,694.84 = 3,219.84/x
  3. Step 3: Cross multiply
    3,793.32x = 5,694.84 × 3,219.84
  4. Step 4: Simplify right side
    3,793.32x = 18,336,473.63
  5. Step 5: Solve for x
    x = 18,336,473.63/3,793.32
  6. Step 6: Final answer
    x = 4,833.89

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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.