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Finding the Fourth Proportional to 3,905.78, 5,389.11 and 2,226.71

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Solution

The fourth proportional to 3,905.78, 5,389.11 and 2,226.71 is: 3,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.78 : 5,389.11 = 2,226.71 : x
  2. Step 2: Convert to fraction form
    3,905.78/5,389.11 = 2,226.71/x
  3. Step 3: Cross multiply
    3,905.78x = 5,389.11 × 2,226.71
  4. Step 4: Simplify right side
    3,905.78x = 11,999,958.18
  5. Step 5: Solve for x
    x = 11,999,958.18/3,905.78
  6. Step 6: Final answer
    x = 3,072.36

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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.