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Finding the Fourth Proportional to 3,904.56, 5,388.92 and 2,226

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Solution

The fourth proportional to 3,904.56, 5,388.92 and 2,226 is: 3,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.56 : 5,388.92 = 2,226 : x
  2. Step 2: Convert to fraction form
    3,904.56/5,388.92 = 2,226/x
  3. Step 3: Cross multiply
    3,904.56x = 5,388.92 × 2,226
  4. Step 4: Simplify right side
    3,904.56x = 11,995,735.92
  5. Step 5: Solve for x
    x = 11,995,735.92/3,904.56
  6. Step 6: Final answer
    x = 3,072.24

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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.