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Finding the Fourth Proportional to 3,793.31, 5,689.97 and 1,196.25

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Solution

The fourth proportional to 3,793.31, 5,689.97 and 1,196.25 is: 1,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.31 : 5,689.97 = 1,196.25 : x
  2. Step 2: Convert to fraction form
    3,793.31/5,689.97 = 1,196.25/x
  3. Step 3: Cross multiply
    3,793.31x = 5,689.97 × 1,196.25
  4. Step 4: Simplify right side
    3,793.31x = 6,806,603.78
  5. Step 5: Solve for x
    x = 6,806,603.78/3,793.31
  6. Step 6: Final answer
    x = 1,794.37

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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.