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Finding the Fourth Proportional to 3,832.77, 5,286.05 and 3,236.64

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Solution

The fourth proportional to 3,832.77, 5,286.05 and 3,236.64 is: 4,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.77 : 5,286.05 = 3,236.64 : x
  2. Step 2: Convert to fraction form
    3,832.77/5,286.05 = 3,236.64/x
  3. Step 3: Cross multiply
    3,832.77x = 5,286.05 × 3,236.64
  4. Step 4: Simplify right side
    3,832.77x = 17,109,024.69
  5. Step 5: Solve for x
    x = 17,109,024.69/3,832.77
  6. Step 6: Final answer
    x = 4,463.88

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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.