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Finding the Fourth Proportional to 3,196.36, 4,793.82 and 1,144.36

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Solution

The fourth proportional to 3,196.36, 4,793.82 and 1,144.36 is: 1,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.36 : 4,793.82 = 1,144.36 : x
  2. Step 2: Convert to fraction form
    3,196.36/4,793.82 = 1,144.36/x
  3. Step 3: Cross multiply
    3,196.36x = 4,793.82 × 1,144.36
  4. Step 4: Simplify right side
    3,196.36x = 5,485,855.86
  5. Step 5: Solve for x
    x = 5,485,855.86/3,196.36
  6. Step 6: Final answer
    x = 1,716.28

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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.