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Finding the Fourth Proportional to 3,691.52, 5,537.99 and 1,193.38

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Solution

The fourth proportional to 3,691.52, 5,537.99 and 1,193.38 is: 1,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.52 : 5,537.99 = 1,193.38 : x
  2. Step 2: Convert to fraction form
    3,691.52/5,537.99 = 1,193.38/x
  3. Step 3: Cross multiply
    3,691.52x = 5,537.99 × 1,193.38
  4. Step 4: Simplify right side
    3,691.52x = 6,608,940.08
  5. Step 5: Solve for x
    x = 6,608,940.08/3,691.52
  6. Step 6: Final answer
    x = 1,790.30

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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.