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Finding the Fourth Proportional to 5,198.58, 7,795.17 and 2,566.22

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Solution

The fourth proportional to 5,198.58, 7,795.17 and 2,566.22 is: 3,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.58 : 7,795.17 = 2,566.22 : x
  2. Step 2: Convert to fraction form
    5,198.58/7,795.17 = 2,566.22/x
  3. Step 3: Cross multiply
    5,198.58x = 7,795.17 × 2,566.22
  4. Step 4: Simplify right side
    5,198.58x = 20,004,082.18
  5. Step 5: Solve for x
    x = 20,004,082.18/5,198.58
  6. Step 6: Final answer
    x = 3,847.99

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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.