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Finding the Fourth Proportional to 3,906.56, 5,388.72 and 3,381.68

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Solution

The fourth proportional to 3,906.56, 5,388.72 and 3,381.68 is: 4,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.56 : 5,388.72 = 3,381.68 : x
  2. Step 2: Convert to fraction form
    3,906.56/5,388.72 = 3,381.68/x
  3. Step 3: Cross multiply
    3,906.56x = 5,388.72 × 3,381.68
  4. Step 4: Simplify right side
    3,906.56x = 18,222,926.65
  5. Step 5: Solve for x
    x = 18,222,926.65/3,906.56
  6. Step 6: Final answer
    x = 4,664.70

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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.