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Finding the Fourth Proportional to 3,906.91, 5,389.62 and 2,662.75

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Solution

The fourth proportional to 3,906.91, 5,389.62 and 2,662.75 is: 3,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.91 : 5,389.62 = 2,662.75 : x
  2. Step 2: Convert to fraction form
    3,906.91/5,389.62 = 2,662.75/x
  3. Step 3: Cross multiply
    3,906.91x = 5,389.62 × 2,662.75
  4. Step 4: Simplify right side
    3,906.91x = 14,351,210.66
  5. Step 5: Solve for x
    x = 14,351,210.66/3,906.91
  6. Step 6: Final answer
    x = 3,673.29

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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.