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Finding the Fourth Proportional to 6,093.01, 8,408.23 and 3,997

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Solution

The fourth proportional to 6,093.01, 8,408.23 and 3,997 is: 5,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.01 : 8,408.23 = 3,997 : x
  2. Step 2: Convert to fraction form
    6,093.01/8,408.23 = 3,997/x
  3. Step 3: Cross multiply
    6,093.01x = 8,408.23 × 3,997
  4. Step 4: Simplify right side
    6,093.01x = 33,607,695.31
  5. Step 5: Solve for x
    x = 33,607,695.31/6,093.01
  6. Step 6: Final answer
    x = 5,515.78

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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.