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Finding the Fourth Proportional to 3,906.43, 5,390.55 and 2,204.82

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Solution

The fourth proportional to 3,906.43, 5,390.55 and 2,204.82 is: 3,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.43 : 5,390.55 = 2,204.82 : x
  2. Step 2: Convert to fraction form
    3,906.43/5,390.55 = 2,204.82/x
  3. Step 3: Cross multiply
    3,906.43x = 5,390.55 × 2,204.82
  4. Step 4: Simplify right side
    3,906.43x = 11,885,192.45
  5. Step 5: Solve for x
    x = 11,885,192.45/3,906.43
  6. Step 6: Final answer
    x = 3,042.47

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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.