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Finding the Fourth Proportional to 5,198.42, 7,174 and 2,840.72

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Solution

The fourth proportional to 5,198.42, 7,174 and 2,840.72 is: 3,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.42 : 7,174 = 2,840.72 : x
  2. Step 2: Convert to fraction form
    5,198.42/7,174 = 2,840.72/x
  3. Step 3: Cross multiply
    5,198.42x = 7,174 × 2,840.72
  4. Step 4: Simplify right side
    5,198.42x = 20,379,289.41
  5. Step 5: Solve for x
    x = 20,379,289.41/5,198.42
  6. Step 6: Final answer
    x = 3,920.29

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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.