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Finding the Fourth Proportional to 3,664.69, 5,057.22 and 2,092.75

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Solution

The fourth proportional to 3,664.69, 5,057.22 and 2,092.75 is: 2,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.69 : 5,057.22 = 2,092.75 : x
  2. Step 2: Convert to fraction form
    3,664.69/5,057.22 = 2,092.75/x
  3. Step 3: Cross multiply
    3,664.69x = 5,057.22 × 2,092.75
  4. Step 4: Simplify right side
    3,664.69x = 10,583,497.16
  5. Step 5: Solve for x
    x = 10,583,497.16/3,664.69
  6. Step 6: Final answer
    x = 2,887.97

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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.