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Finding the Fourth Proportional to 5,896.21, 8,843.49 and 2,197.96

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Solution

The fourth proportional to 5,896.21, 8,843.49 and 2,197.96 is: 3,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.21 : 8,843.49 = 2,197.96 : x
  2. Step 2: Convert to fraction form
    5,896.21/8,843.49 = 2,197.96/x
  3. Step 3: Cross multiply
    5,896.21x = 8,843.49 × 2,197.96
  4. Step 4: Simplify right side
    5,896.21x = 19,437,637.28
  5. Step 5: Solve for x
    x = 19,437,637.28/5,896.21
  6. Step 6: Final answer
    x = 3,296.63

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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.