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Finding the Fourth Proportional to 5,408.24, 8,107.24 and 2,123.44

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Solution

The fourth proportional to 5,408.24, 8,107.24 and 2,123.44 is: 3,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.24 : 8,107.24 = 2,123.44 : x
  2. Step 2: Convert to fraction form
    5,408.24/8,107.24 = 2,123.44/x
  3. Step 3: Cross multiply
    5,408.24x = 8,107.24 × 2,123.44
  4. Step 4: Simplify right side
    5,408.24x = 17,215,237.71
  5. Step 5: Solve for x
    x = 17,215,237.71/5,408.24
  6. Step 6: Final answer
    x = 3,183.15

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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.