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Finding the Fourth Proportional to 3,408.94, 5,114.96 and 3,082.92

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Solution

The fourth proportional to 3,408.94, 5,114.96 and 3,082.92 is: 4,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.94 : 5,114.96 = 3,082.92 : x
  2. Step 2: Convert to fraction form
    3,408.94/5,114.96 = 3,082.92/x
  3. Step 3: Cross multiply
    3,408.94x = 5,114.96 × 3,082.92
  4. Step 4: Simplify right side
    3,408.94x = 15,769,012.48
  5. Step 5: Solve for x
    x = 15,769,012.48/3,408.94
  6. Step 6: Final answer
    x = 4,625.78

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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.