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Finding the Fourth Proportional to 3,361.80, 5,043.39 and 1,281.78

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Solution

The fourth proportional to 3,361.80, 5,043.39 and 1,281.78 is: 1,922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.80 : 5,043.39 = 1,281.78 : x
  2. Step 2: Convert to fraction form
    3,361.80/5,043.39 = 1,281.78/x
  3. Step 3: Cross multiply
    3,361.80x = 5,043.39 × 1,281.78
  4. Step 4: Simplify right side
    3,361.80x = 6,464,516.43
  5. Step 5: Solve for x
    x = 6,464,516.43/3,361.80
  6. Step 6: Final answer
    x = 1,922.93

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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.