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Finding the Fourth Proportional to 5,193.56, 7,782.83 and 2,227.88

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Solution

The fourth proportional to 5,193.56, 7,782.83 and 2,227.88 is: 3,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.56 : 7,782.83 = 2,227.88 : x
  2. Step 2: Convert to fraction form
    5,193.56/7,782.83 = 2,227.88/x
  3. Step 3: Cross multiply
    5,193.56x = 7,782.83 × 2,227.88
  4. Step 4: Simplify right side
    5,193.56x = 17,339,219.62
  5. Step 5: Solve for x
    x = 17,339,219.62/5,193.56
  6. Step 6: Final answer
    x = 3,338.60

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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.