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Finding the Fourth Proportional to 3,835.22, 5,724.83 and 3,290.90

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Solution

The fourth proportional to 3,835.22, 5,724.83 and 3,290.90 is: 4,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.22 : 5,724.83 = 3,290.90 : x
  2. Step 2: Convert to fraction form
    3,835.22/5,724.83 = 3,290.90/x
  3. Step 3: Cross multiply
    3,835.22x = 5,724.83 × 3,290.90
  4. Step 4: Simplify right side
    3,835.22x = 18,839,797.97
  5. Step 5: Solve for x
    x = 18,839,797.97/3,835.22
  6. Step 6: Final answer
    x = 4,912.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.