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Finding the Fourth Proportional to 5,198.73, 7,174.25 and 3,709.23

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Solution

The fourth proportional to 5,198.73, 7,174.25 and 3,709.23 is: 5,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.73 : 7,174.25 = 3,709.23 : x
  2. Step 2: Convert to fraction form
    5,198.73/7,174.25 = 3,709.23/x
  3. Step 3: Cross multiply
    5,198.73x = 7,174.25 × 3,709.23
  4. Step 4: Simplify right side
    5,198.73x = 26,610,943.33
  5. Step 5: Solve for x
    x = 26,610,943.33/5,198.73
  6. Step 6: Final answer
    x = 5,118.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.