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Finding the Fourth Proportional to 5,936.80, 8,906.16 and 2,649.82

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Solution

The fourth proportional to 5,936.80, 8,906.16 and 2,649.82 is: 3,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.80 : 8,906.16 = 2,649.82 : x
  2. Step 2: Convert to fraction form
    5,936.80/8,906.16 = 2,649.82/x
  3. Step 3: Cross multiply
    5,936.80x = 8,906.16 × 2,649.82
  4. Step 4: Simplify right side
    5,936.80x = 23,599,720.89
  5. Step 5: Solve for x
    x = 23,599,720.89/5,936.80
  6. Step 6: Final answer
    x = 3,975.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.