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Finding the Fourth Proportional to 4,665.43, 6,998.64 and 2,199.59

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Solution

The fourth proportional to 4,665.43, 6,998.64 and 2,199.59 is: 3,299.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.43 : 6,998.64 = 2,199.59 : x
  2. Step 2: Convert to fraction form
    4,665.43/6,998.64 = 2,199.59/x
  3. Step 3: Cross multiply
    4,665.43x = 6,998.64 × 2,199.59
  4. Step 4: Simplify right side
    4,665.43x = 15,394,121.56
  5. Step 5: Solve for x
    x = 15,394,121.56/4,665.43
  6. Step 6: Final answer
    x = 3,299.61

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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.