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Finding the Fourth Proportional to 3,877.94, 5,817.36 and 1,280.90

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Solution

The fourth proportional to 3,877.94, 5,817.36 and 1,280.90 is: 1,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.94 : 5,817.36 = 1,280.90 : x
  2. Step 2: Convert to fraction form
    3,877.94/5,817.36 = 1,280.90/x
  3. Step 3: Cross multiply
    3,877.94x = 5,817.36 × 1,280.90
  4. Step 4: Simplify right side
    3,877.94x = 7,451,456.42
  5. Step 5: Solve for x
    x = 7,451,456.42/3,877.94
  6. Step 6: Final answer
    x = 1,921.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.