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Finding the Fourth Proportional to 3,836.62, 5,291.93 and 2,342.62

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Solution

The fourth proportional to 3,836.62, 5,291.93 and 2,342.62 is: 3,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.62 : 5,291.93 = 2,342.62 : x
  2. Step 2: Convert to fraction form
    3,836.62/5,291.93 = 2,342.62/x
  3. Step 3: Cross multiply
    3,836.62x = 5,291.93 × 2,342.62
  4. Step 4: Simplify right side
    3,836.62x = 12,396,993.53
  5. Step 5: Solve for x
    x = 12,396,993.53/3,836.62
  6. Step 6: Final answer
    x = 3,231.23

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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.