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Finding the Fourth Proportional to 3,842.26, 5,759.79 and 2,084.68

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Solution

The fourth proportional to 3,842.26, 5,759.79 and 2,084.68 is: 3,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.26 : 5,759.79 = 2,084.68 : x
  2. Step 2: Convert to fraction form
    3,842.26/5,759.79 = 2,084.68/x
  3. Step 3: Cross multiply
    3,842.26x = 5,759.79 × 2,084.68
  4. Step 4: Simplify right side
    3,842.26x = 12,007,318.40
  5. Step 5: Solve for x
    x = 12,007,318.40/3,842.26
  6. Step 6: Final answer
    x = 3,125.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.