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Finding the Fourth Proportional to 3,877.64, 5,816.58 and 1,280.78

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Solution

The fourth proportional to 3,877.64, 5,816.58 and 1,280.78 is: 1,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.64 : 5,816.58 = 1,280.78 : x
  2. Step 2: Convert to fraction form
    3,877.64/5,816.58 = 1,280.78/x
  3. Step 3: Cross multiply
    3,877.64x = 5,816.58 × 1,280.78
  4. Step 4: Simplify right side
    3,877.64x = 7,449,759.33
  5. Step 5: Solve for x
    x = 7,449,759.33/3,877.64
  6. Step 6: Final answer
    x = 1,921.21

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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.