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Finding the Fourth Proportional to 3,663.28, 5,493.69 and 1,197.52

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Solution

The fourth proportional to 3,663.28, 5,493.69 and 1,197.52 is: 1,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.28 : 5,493.69 = 1,197.52 : x
  2. Step 2: Convert to fraction form
    3,663.28/5,493.69 = 1,197.52/x
  3. Step 3: Cross multiply
    3,663.28x = 5,493.69 × 1,197.52
  4. Step 4: Simplify right side
    3,663.28x = 6,578,817.38
  5. Step 5: Solve for x
    x = 6,578,817.38/3,663.28
  6. Step 6: Final answer
    x = 1,795.88

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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.