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Finding the Fourth Proportional to 5,896.25, 8,137.02 and 3,243.77

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Solution

The fourth proportional to 5,896.25, 8,137.02 and 3,243.77 is: 4,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.25 : 8,137.02 = 3,243.77 : x
  2. Step 2: Convert to fraction form
    5,896.25/8,137.02 = 3,243.77/x
  3. Step 3: Cross multiply
    5,896.25x = 8,137.02 × 3,243.77
  4. Step 4: Simplify right side
    5,896.25x = 26,394,580.68
  5. Step 5: Solve for x
    x = 26,394,580.68/5,896.25
  6. Step 6: Final answer
    x = 4,476.51

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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.