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Finding the Fourth Proportional to 3,793.94, 5,691.48 and 1,196.84

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Solution

The fourth proportional to 3,793.94, 5,691.48 and 1,196.84 is: 1,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.94 : 5,691.48 = 1,196.84 : x
  2. Step 2: Convert to fraction form
    3,793.94/5,691.48 = 1,196.84/x
  3. Step 3: Cross multiply
    3,793.94x = 5,691.48 × 1,196.84
  4. Step 4: Simplify right side
    3,793.94x = 6,811,790.92
  5. Step 5: Solve for x
    x = 6,811,790.92/3,793.94
  6. Step 6: Final answer
    x = 1,795.44

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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.