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Finding the Fourth Proportional to 3,624.35, 5,408.37 and 3,209.09

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Solution

The fourth proportional to 3,624.35, 5,408.37 and 3,209.09 is: 4,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624.35 : 5,408.37 = 3,209.09 : x
  2. Step 2: Convert to fraction form
    3,624.35/5,408.37 = 3,209.09/x
  3. Step 3: Cross multiply
    3,624.35x = 5,408.37 × 3,209.09
  4. Step 4: Simplify right side
    3,624.35x = 17,355,919.04
  5. Step 5: Solve for x
    x = 17,355,919.04/3,624.35
  6. Step 6: Final answer
    x = 4,788.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.