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Finding the Fourth Proportional to 3,513.92, 5,269.66 and 2,206.98

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Solution

The fourth proportional to 3,513.92, 5,269.66 and 2,206.98 is: 3,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.92 : 5,269.66 = 2,206.98 : x
  2. Step 2: Convert to fraction form
    3,513.92/5,269.66 = 2,206.98/x
  3. Step 3: Cross multiply
    3,513.92x = 5,269.66 × 2,206.98
  4. Step 4: Simplify right side
    3,513.92x = 11,630,028.71
  5. Step 5: Solve for x
    x = 11,630,028.71/3,513.92
  6. Step 6: Final answer
    x = 3,309.71

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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.