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Finding the Fourth Proportional to 5,936.59, 8,196.22 and 3,812.97

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Solution

The fourth proportional to 5,936.59, 8,196.22 and 3,812.97 is: 5,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.59 : 8,196.22 = 3,812.97 : x
  2. Step 2: Convert to fraction form
    5,936.59/8,196.22 = 3,812.97/x
  3. Step 3: Cross multiply
    5,936.59x = 8,196.22 × 3,812.97
  4. Step 4: Simplify right side
    5,936.59x = 31,251,961.46
  5. Step 5: Solve for x
    x = 31,251,961.46/5,936.59
  6. Step 6: Final answer
    x = 5,264.30

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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.