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Finding the Fourth Proportional to 5,616.72, 8,408.78 and 3,269.57

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Solution

The fourth proportional to 5,616.72, 8,408.78 and 3,269.57 is: 4,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.72 : 8,408.78 = 3,269.57 : x
  2. Step 2: Convert to fraction form
    5,616.72/8,408.78 = 3,269.57/x
  3. Step 3: Cross multiply
    5,616.72x = 8,408.78 × 3,269.57
  4. Step 4: Simplify right side
    5,616.72x = 27,493,094.82
  5. Step 5: Solve for x
    x = 27,493,094.82/5,616.72
  6. Step 6: Final answer
    x = 4,894.87

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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.