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Finding the Fourth Proportional to 3,793.56, 5,690.88 and 1,195.92

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Solution

The fourth proportional to 3,793.56, 5,690.88 and 1,195.92 is: 1,794.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.56 : 5,690.88 = 1,195.92 : x
  2. Step 2: Convert to fraction form
    3,793.56/5,690.88 = 1,195.92/x
  3. Step 3: Cross multiply
    3,793.56x = 5,690.88 × 1,195.92
  4. Step 4: Simplify right side
    3,793.56x = 6,805,837.21
  5. Step 5: Solve for x
    x = 6,805,837.21/3,793.56
  6. Step 6: Final answer
    x = 1,794.05

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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.