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Finding the Fourth Proportional to 5,194.28, 7,166.94 and 3,098

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Solution

The fourth proportional to 5,194.28, 7,166.94 and 3,098 is: 4,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.28 : 7,166.94 = 3,098 : x
  2. Step 2: Convert to fraction form
    5,194.28/7,166.94 = 3,098/x
  3. Step 3: Cross multiply
    5,194.28x = 7,166.94 × 3,098
  4. Step 4: Simplify right side
    5,194.28x = 22,203,180.12
  5. Step 5: Solve for x
    x = 22,203,180.12/5,194.28
  6. Step 6: Final answer
    x = 4,274.54

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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.