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Finding the Fourth Proportional to 4,221.24, 6,331.24 and 1,755.73

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Solution

The fourth proportional to 4,221.24, 6,331.24 and 1,755.73 is: 2,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.24 : 6,331.24 = 1,755.73 : x
  2. Step 2: Convert to fraction form
    4,221.24/6,331.24 = 1,755.73/x
  3. Step 3: Cross multiply
    4,221.24x = 6,331.24 × 1,755.73
  4. Step 4: Simplify right side
    4,221.24x = 11,115,948.01
  5. Step 5: Solve for x
    x = 11,115,948.01/4,221.24
  6. Step 6: Final answer
    x = 2,633.34

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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.