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Finding the Fourth Proportional to 3,408.56, 5,105.10 and 3,014.48

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Solution

The fourth proportional to 3,408.56, 5,105.10 and 3,014.48 is: 4,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.56 : 5,105.10 = 3,014.48 : x
  2. Step 2: Convert to fraction form
    3,408.56/5,105.10 = 3,014.48/x
  3. Step 3: Cross multiply
    3,408.56x = 5,105.10 × 3,014.48
  4. Step 4: Simplify right side
    3,408.56x = 15,389,221.85
  5. Step 5: Solve for x
    x = 15,389,221.85/3,408.56
  6. Step 6: Final answer
    x = 4,514.87

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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.