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Finding the Fourth Proportional to 4,015.26, 6,022.89 and 1,824.17

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Solution

The fourth proportional to 4,015.26, 6,022.89 and 1,824.17 is: 2,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015.26 : 6,022.89 = 1,824.17 : x
  2. Step 2: Convert to fraction form
    4,015.26/6,022.89 = 1,824.17/x
  3. Step 3: Cross multiply
    4,015.26x = 6,022.89 × 1,824.17
  4. Step 4: Simplify right side
    4,015.26x = 10,986,745.14
  5. Step 5: Solve for x
    x = 10,986,745.14/4,015.26
  6. Step 6: Final answer
    x = 2,736.25

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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.