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Finding the Fourth Proportional to 3,817.25, 5,267.74 and 2,138.64

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Solution

The fourth proportional to 3,817.25, 5,267.74 and 2,138.64 is: 2,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.25 : 5,267.74 = 2,138.64 : x
  2. Step 2: Convert to fraction form
    3,817.25/5,267.74 = 2,138.64/x
  3. Step 3: Cross multiply
    3,817.25x = 5,267.74 × 2,138.64
  4. Step 4: Simplify right side
    3,817.25x = 11,265,788.78
  5. Step 5: Solve for x
    x = 11,265,788.78/3,817.25
  6. Step 6: Final answer
    x = 2,951.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.