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Finding the Fourth Proportional to 3,877.56, 5,817.42 and 1,280.57

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Solution

The fourth proportional to 3,877.56, 5,817.42 and 1,280.57 is: 1,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.56 : 5,817.42 = 1,280.57 : x
  2. Step 2: Convert to fraction form
    3,877.56/5,817.42 = 1,280.57/x
  3. Step 3: Cross multiply
    3,877.56x = 5,817.42 × 1,280.57
  4. Step 4: Simplify right side
    3,877.56x = 7,449,584.44
  5. Step 5: Solve for x
    x = 7,449,584.44/3,877.56
  6. Step 6: Final answer
    x = 1,921.20

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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.