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Finding the Fourth Proportional to 3,793.52, 5,690.28 and 1,196.66

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Solution

The fourth proportional to 3,793.52, 5,690.28 and 1,196.66 is: 1,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.52 : 5,690.28 = 1,196.66 : x
  2. Step 2: Convert to fraction form
    3,793.52/5,690.28 = 1,196.66/x
  3. Step 3: Cross multiply
    3,793.52x = 5,690.28 × 1,196.66
  4. Step 4: Simplify right side
    3,793.52x = 6,809,296.03
  5. Step 5: Solve for x
    x = 6,809,296.03/3,793.52
  6. Step 6: Final answer
    x = 1,794.98

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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.