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Finding the Fourth Proportional to 3,817.62, 5,268.15 and 2,138.90

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Solution

The fourth proportional to 3,817.62, 5,268.15 and 2,138.90 is: 2,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.62 : 5,268.15 = 2,138.90 : x
  2. Step 2: Convert to fraction form
    3,817.62/5,268.15 = 2,138.90/x
  3. Step 3: Cross multiply
    3,817.62x = 5,268.15 × 2,138.90
  4. Step 4: Simplify right side
    3,817.62x = 11,268,019.69
  5. Step 5: Solve for x
    x = 11,268,019.69/3,817.62
  6. Step 6: Final answer
    x = 2,951.58

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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.