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Finding the Fourth Proportional to 3,832.62, 5,286.51 and 2,437.26

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Solution

The fourth proportional to 3,832.62, 5,286.51 and 2,437.26 is: 3,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.62 : 5,286.51 = 2,437.26 : x
  2. Step 2: Convert to fraction form
    3,832.62/5,286.51 = 2,437.26/x
  3. Step 3: Cross multiply
    3,832.62x = 5,286.51 × 2,437.26
  4. Step 4: Simplify right side
    3,832.62x = 12,884,599.36
  5. Step 5: Solve for x
    x = 12,884,599.36/3,832.62
  6. Step 6: Final answer
    x = 3,361.83

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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.