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Finding the Fourth Proportional to 6,122.82, 8,446.47 and 3,997.35

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Solution

The fourth proportional to 6,122.82, 8,446.47 and 3,997.35 is: 5,514.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.82 : 8,446.47 = 3,997.35 : x
  2. Step 2: Convert to fraction form
    6,122.82/8,446.47 = 3,997.35/x
  3. Step 3: Cross multiply
    6,122.82x = 8,446.47 × 3,997.35
  4. Step 4: Simplify right side
    6,122.82x = 33,763,496.85
  5. Step 5: Solve for x
    x = 33,763,496.85/6,122.82
  6. Step 6: Final answer
    x = 5,514.37

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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.