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Finding the Fourth Proportional to 3,905.94, 5,389.54 and 2,227.38

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Solution

The fourth proportional to 3,905.94, 5,389.54 and 2,227.38 is: 3,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.94 : 5,389.54 = 2,227.38 : x
  2. Step 2: Convert to fraction form
    3,905.94/5,389.54 = 2,227.38/x
  3. Step 3: Cross multiply
    3,905.94x = 5,389.54 × 2,227.38
  4. Step 4: Simplify right side
    3,905.94x = 12,004,553.61
  5. Step 5: Solve for x
    x = 12,004,553.61/3,905.94
  6. Step 6: Final answer
    x = 3,073.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.