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Finding the Fourth Proportional to 3,812, 5,261.28 and 2,240.96

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Solution

The fourth proportional to 3,812, 5,261.28 and 2,240.96 is: 3,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812 : 5,261.28 = 2,240.96 : x
  2. Step 2: Convert to fraction form
    3,812/5,261.28 = 2,240.96/x
  3. Step 3: Cross multiply
    3,812x = 5,261.28 × 2,240.96
  4. Step 4: Simplify right side
    3,812x = 11,790,318.03
  5. Step 5: Solve for x
    x = 11,790,318.03/3,812
  6. Step 6: Final answer
    x = 3,092.95

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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.