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Finding the Fourth Proportional to 3,634.27, 5,449.88 and 1,990.37

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Solution

The fourth proportional to 3,634.27, 5,449.88 and 1,990.37 is: 2,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.27 : 5,449.88 = 1,990.37 : x
  2. Step 2: Convert to fraction form
    3,634.27/5,449.88 = 1,990.37/x
  3. Step 3: Cross multiply
    3,634.27x = 5,449.88 × 1,990.37
  4. Step 4: Simplify right side
    3,634.27x = 10,847,296.26
  5. Step 5: Solve for x
    x = 10,847,296.26/3,634.27
  6. Step 6: Final answer
    x = 2,984.73

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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.