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Finding the Fourth Proportional to 3,361.64, 5,043.91 and 1,282.27

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Solution

The fourth proportional to 3,361.64, 5,043.91 and 1,282.27 is: 1,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.64 : 5,043.91 = 1,282.27 : x
  2. Step 2: Convert to fraction form
    3,361.64/5,043.91 = 1,282.27/x
  3. Step 3: Cross multiply
    3,361.64x = 5,043.91 × 1,282.27
  4. Step 4: Simplify right side
    3,361.64x = 6,467,654.48
  5. Step 5: Solve for x
    x = 6,467,654.48/3,361.64
  6. Step 6: Final answer
    x = 1,923.96

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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.