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Finding the Fourth Proportional to 4,221.64, 6,331.11 and 2,028.97

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Solution

The fourth proportional to 4,221.64, 6,331.11 and 2,028.97 is: 3,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.64 : 6,331.11 = 2,028.97 : x
  2. Step 2: Convert to fraction form
    4,221.64/6,331.11 = 2,028.97/x
  3. Step 3: Cross multiply
    4,221.64x = 6,331.11 × 2,028.97
  4. Step 4: Simplify right side
    4,221.64x = 12,845,632.26
  5. Step 5: Solve for x
    x = 12,845,632.26/4,221.64
  6. Step 6: Final answer
    x = 3,042.81

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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.