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Finding the Fourth Proportional to 3,361.98, 5,042.20 and 1,282.22

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Solution

The fourth proportional to 3,361.98, 5,042.20 and 1,282.22 is: 1,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.98 : 5,042.20 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    3,361.98/5,042.20 = 1,282.22/x
  3. Step 3: Cross multiply
    3,361.98x = 5,042.20 × 1,282.22
  4. Step 4: Simplify right side
    3,361.98x = 6,465,209.68
  5. Step 5: Solve for x
    x = 6,465,209.68/3,361.98
  6. Step 6: Final answer
    x = 1,923.04

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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.