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Finding the Fourth Proportional to 3,794.39, 5,687.86 and 1,819.46

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Solution

The fourth proportional to 3,794.39, 5,687.86 and 1,819.46 is: 2,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.39 : 5,687.86 = 1,819.46 : x
  2. Step 2: Convert to fraction form
    3,794.39/5,687.86 = 1,819.46/x
  3. Step 3: Cross multiply
    3,794.39x = 5,687.86 × 1,819.46
  4. Step 4: Simplify right side
    3,794.39x = 10,348,805.32
  5. Step 5: Solve for x
    x = 10,348,805.32/3,794.39
  6. Step 6: Final answer
    x = 2,727.40

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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.