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Finding the Fourth Proportional to 3,847.85, 5,768.31 and 1,382.09

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Solution

The fourth proportional to 3,847.85, 5,768.31 and 1,382.09 is: 2,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.85 : 5,768.31 = 1,382.09 : x
  2. Step 2: Convert to fraction form
    3,847.85/5,768.31 = 1,382.09/x
  3. Step 3: Cross multiply
    3,847.85x = 5,768.31 × 1,382.09
  4. Step 4: Simplify right side
    3,847.85x = 7,972,323.57
  5. Step 5: Solve for x
    x = 7,972,323.57/3,847.85
  6. Step 6: Final answer
    x = 2,071.89

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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.