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Finding the Fourth Proportional to 5,936.50, 8,192.24 and 3,283.94

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Solution

The fourth proportional to 5,936.50, 8,192.24 and 3,283.94 is: 4,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.50 : 8,192.24 = 3,283.94 : x
  2. Step 2: Convert to fraction form
    5,936.50/8,192.24 = 3,283.94/x
  3. Step 3: Cross multiply
    5,936.50x = 8,192.24 × 3,283.94
  4. Step 4: Simplify right side
    5,936.50x = 26,902,824.63
  5. Step 5: Solve for x
    x = 26,902,824.63/5,936.50
  6. Step 6: Final answer
    x = 4,531.77

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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.