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Finding the Fourth Proportional to 3,378.31, 5,069.18 and 1,896.62

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Solution

The fourth proportional to 3,378.31, 5,069.18 and 1,896.62 is: 2,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.31 : 5,069.18 = 1,896.62 : x
  2. Step 2: Convert to fraction form
    3,378.31/5,069.18 = 1,896.62/x
  3. Step 3: Cross multiply
    3,378.31x = 5,069.18 × 1,896.62
  4. Step 4: Simplify right side
    3,378.31x = 9,614,287.57
  5. Step 5: Solve for x
    x = 9,614,287.57/3,378.31
  6. Step 6: Final answer
    x = 2,845.89

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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.