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Finding the Fourth Proportional to 3,408.52, 5,119.26 and 2,119

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Solution

The fourth proportional to 3,408.52, 5,119.26 and 2,119 is: 3,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.52 : 5,119.26 = 2,119 : x
  2. Step 2: Convert to fraction form
    3,408.52/5,119.26 = 2,119/x
  3. Step 3: Cross multiply
    3,408.52x = 5,119.26 × 2,119
  4. Step 4: Simplify right side
    3,408.52x = 10,847,711.94
  5. Step 5: Solve for x
    x = 10,847,711.94/3,408.52
  6. Step 6: Final answer
    x = 3,182.53

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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.