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Finding the Fourth Proportional to 5,202.88, 7,801.11 and 2,243.21

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Solution

The fourth proportional to 5,202.88, 7,801.11 and 2,243.21 is: 3,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.88 : 7,801.11 = 2,243.21 : x
  2. Step 2: Convert to fraction form
    5,202.88/7,801.11 = 2,243.21/x
  3. Step 3: Cross multiply
    5,202.88x = 7,801.11 × 2,243.21
  4. Step 4: Simplify right side
    5,202.88x = 17,499,488.96
  5. Step 5: Solve for x
    x = 17,499,488.96/5,202.88
  6. Step 6: Final answer
    x = 3,363.43

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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.