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Finding the Fourth Proportional to 5,896.75, 8,137.26 and 3,243.99

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Solution

The fourth proportional to 5,896.75, 8,137.26 and 3,243.99 is: 4,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.75 : 8,137.26 = 3,243.99 : x
  2. Step 2: Convert to fraction form
    5,896.75/8,137.26 = 3,243.99/x
  3. Step 3: Cross multiply
    5,896.75x = 8,137.26 × 3,243.99
  4. Step 4: Simplify right side
    5,896.75x = 26,397,190.07
  5. Step 5: Solve for x
    x = 26,397,190.07/5,896.75
  6. Step 6: Final answer
    x = 4,476.57

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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.