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Finding the Fourth Proportional to 3,877.46, 5,813.44 and 2,002.54

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Solution

The fourth proportional to 3,877.46, 5,813.44 and 2,002.54 is: 3,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.46 : 5,813.44 = 2,002.54 : x
  2. Step 2: Convert to fraction form
    3,877.46/5,813.44 = 2,002.54/x
  3. Step 3: Cross multiply
    3,877.46x = 5,813.44 × 2,002.54
  4. Step 4: Simplify right side
    3,877.46x = 11,641,626.60
  5. Step 5: Solve for x
    x = 11,641,626.60/3,877.46
  6. Step 6: Final answer
    x = 3,002.39

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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.