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Finding the Fourth Proportional to 5,738.77, 8,608.22 and 2,228.97

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Solution

The fourth proportional to 5,738.77, 8,608.22 and 2,228.97 is: 3,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.77 : 8,608.22 = 2,228.97 : x
  2. Step 2: Convert to fraction form
    5,738.77/8,608.22 = 2,228.97/x
  3. Step 3: Cross multiply
    5,738.77x = 8,608.22 × 2,228.97
  4. Step 4: Simplify right side
    5,738.77x = 19,187,445.21
  5. Step 5: Solve for x
    x = 19,187,445.21/5,738.77
  6. Step 6: Final answer
    x = 3,343.48

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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.