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Finding the Fourth Proportional to 3,793.14, 5,689.89 and 1,196.28

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Solution

The fourth proportional to 3,793.14, 5,689.89 and 1,196.28 is: 1,794.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.14 : 5,689.89 = 1,196.28 : x
  2. Step 2: Convert to fraction form
    3,793.14/5,689.89 = 1,196.28/x
  3. Step 3: Cross multiply
    3,793.14x = 5,689.89 × 1,196.28
  4. Step 4: Simplify right side
    3,793.14x = 6,806,701.61
  5. Step 5: Solve for x
    x = 6,806,701.61/3,793.14
  6. Step 6: Final answer
    x = 1,794.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.