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Finding the Fourth Proportional to 5,912.73, 8,164.32 and 4,028.26

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Solution

The fourth proportional to 5,912.73, 8,164.32 and 4,028.26 is: 5,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.73 : 8,164.32 = 4,028.26 : x
  2. Step 2: Convert to fraction form
    5,912.73/8,164.32 = 4,028.26/x
  3. Step 3: Cross multiply
    5,912.73x = 8,164.32 × 4,028.26
  4. Step 4: Simplify right side
    5,912.73x = 32,888,003.68
  5. Step 5: Solve for x
    x = 32,888,003.68/5,912.73
  6. Step 6: Final answer
    x = 5,562.24

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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.