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Finding the Fourth Proportional to 3,793.77, 5,691.51 and 1,196.64

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Solution

The fourth proportional to 3,793.77, 5,691.51 and 1,196.64 is: 1,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.77 : 5,691.51 = 1,196.64 : x
  2. Step 2: Convert to fraction form
    3,793.77/5,691.51 = 1,196.64/x
  3. Step 3: Cross multiply
    3,793.77x = 5,691.51 × 1,196.64
  4. Step 4: Simplify right side
    3,793.77x = 6,810,688.53
  5. Step 5: Solve for x
    x = 6,810,688.53/3,793.77
  6. Step 6: Final answer
    x = 1,795.23

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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.