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Finding the Fourth Proportional to 3,665.34, 5,496.84 and 1,198.80

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Solution

The fourth proportional to 3,665.34, 5,496.84 and 1,198.80 is: 1,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.34 : 5,496.84 = 1,198.80 : x
  2. Step 2: Convert to fraction form
    3,665.34/5,496.84 = 1,198.80/x
  3. Step 3: Cross multiply
    3,665.34x = 5,496.84 × 1,198.80
  4. Step 4: Simplify right side
    3,665.34x = 6,589,611.79
  5. Step 5: Solve for x
    x = 6,589,611.79/3,665.34
  6. Step 6: Final answer
    x = 1,797.82

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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.