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Finding the Fourth Proportional to 3,984.27, 5,498.22 and 2,215.84

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Solution

The fourth proportional to 3,984.27, 5,498.22 and 2,215.84 is: 3,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.27 : 5,498.22 = 2,215.84 : x
  2. Step 2: Convert to fraction form
    3,984.27/5,498.22 = 2,215.84/x
  3. Step 3: Cross multiply
    3,984.27x = 5,498.22 × 2,215.84
  4. Step 4: Simplify right side
    3,984.27x = 12,183,160.62
  5. Step 5: Solve for x
    x = 12,183,160.62/3,984.27
  6. Step 6: Final answer
    x = 3,057.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.