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Finding the Fourth Proportional to 3,661.56, 5,491.98 and 1,195.92

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Solution

The fourth proportional to 3,661.56, 5,491.98 and 1,195.92 is: 1,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.56 : 5,491.98 = 1,195.92 : x
  2. Step 2: Convert to fraction form
    3,661.56/5,491.98 = 1,195.92/x
  3. Step 3: Cross multiply
    3,661.56x = 5,491.98 × 1,195.92
  4. Step 4: Simplify right side
    3,661.56x = 6,567,968.72
  5. Step 5: Solve for x
    x = 6,567,968.72/3,661.56
  6. Step 6: Final answer
    x = 1,793.76

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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.