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Finding the Fourth Proportional to 3,998.74, 5,518.29 and 2,206.24

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Solution

The fourth proportional to 3,998.74, 5,518.29 and 2,206.24 is: 3,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.74 : 5,518.29 = 2,206.24 : x
  2. Step 2: Convert to fraction form
    3,998.74/5,518.29 = 2,206.24/x
  3. Step 3: Cross multiply
    3,998.74x = 5,518.29 × 2,206.24
  4. Step 4: Simplify right side
    3,998.74x = 12,174,679.03
  5. Step 5: Solve for x
    x = 12,174,679.03/3,998.74
  6. Step 6: Final answer
    x = 3,044.63

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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.