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Finding the Fourth Proportional to 5,138.08, 7,704.22 and 3,496.84

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Solution

The fourth proportional to 5,138.08, 7,704.22 and 3,496.84 is: 5,243.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.08 : 7,704.22 = 3,496.84 : x
  2. Step 2: Convert to fraction form
    5,138.08/7,704.22 = 3,496.84/x
  3. Step 3: Cross multiply
    5,138.08x = 7,704.22 × 3,496.84
  4. Step 4: Simplify right side
    5,138.08x = 26,940,424.66
  5. Step 5: Solve for x
    x = 26,940,424.66/5,138.08
  6. Step 6: Final answer
    x = 5,243.29

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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.