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Finding the Fourth Proportional to 3,493.11, 5,234.25 and 1,301.25

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Solution

The fourth proportional to 3,493.11, 5,234.25 and 1,301.25 is: 1,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.11 : 5,234.25 = 1,301.25 : x
  2. Step 2: Convert to fraction form
    3,493.11/5,234.25 = 1,301.25/x
  3. Step 3: Cross multiply
    3,493.11x = 5,234.25 × 1,301.25
  4. Step 4: Simplify right side
    3,493.11x = 6,811,067.81
  5. Step 5: Solve for x
    x = 6,811,067.81/3,493.11
  6. Step 6: Final answer
    x = 1,949.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.