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Finding the Fourth Proportional to 5,936.35, 8,192.24 and 3,283.69

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Solution

The fourth proportional to 5,936.35, 8,192.24 and 3,283.69 is: 4,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.35 : 8,192.24 = 3,283.69 : x
  2. Step 2: Convert to fraction form
    5,936.35/8,192.24 = 3,283.69/x
  3. Step 3: Cross multiply
    5,936.35x = 8,192.24 × 3,283.69
  4. Step 4: Simplify right side
    5,936.35x = 26,900,776.57
  5. Step 5: Solve for x
    x = 26,900,776.57/5,936.35
  6. Step 6: Final answer
    x = 4,531.53

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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.