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Finding the Fourth Proportional to 3,936.66, 5,906.44 and 1,829.26

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Solution

The fourth proportional to 3,936.66, 5,906.44 and 1,829.26 is: 2,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.66 : 5,906.44 = 1,829.26 : x
  2. Step 2: Convert to fraction form
    3,936.66/5,906.44 = 1,829.26/x
  3. Step 3: Cross multiply
    3,936.66x = 5,906.44 × 1,829.26
  4. Step 4: Simplify right side
    3,936.66x = 10,804,430.43
  5. Step 5: Solve for x
    x = 10,804,430.43/3,936.66
  6. Step 6: Final answer
    x = 2,744.56

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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.