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Finding the Fourth Proportional to 3,908.36, 5,832.51 and 3,493.14

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Solution

The fourth proportional to 3,908.36, 5,832.51 and 3,493.14 is: 5,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.36 : 5,832.51 = 3,493.14 : x
  2. Step 2: Convert to fraction form
    3,908.36/5,832.51 = 3,493.14/x
  3. Step 3: Cross multiply
    3,908.36x = 5,832.51 × 3,493.14
  4. Step 4: Simplify right side
    3,908.36x = 20,373,773.98
  5. Step 5: Solve for x
    x = 20,373,773.98/3,908.36
  6. Step 6: Final answer
    x = 5,212.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.