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Finding the Fourth Proportional to 5,936.56, 8,192.52 and 3,283.92

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Solution

The fourth proportional to 5,936.56, 8,192.52 and 3,283.92 is: 4,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.56 : 8,192.52 = 3,283.92 : x
  2. Step 2: Convert to fraction form
    5,936.56/8,192.52 = 3,283.92/x
  3. Step 3: Cross multiply
    5,936.56x = 8,192.52 × 3,283.92
  4. Step 4: Simplify right side
    5,936.56x = 26,903,580.28
  5. Step 5: Solve for x
    x = 26,903,580.28/5,936.56
  6. Step 6: Final answer
    x = 4,531.85

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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.