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Finding the Fourth Proportional to 5,194.24, 7,168.97 and 3,069.68

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Solution

The fourth proportional to 5,194.24, 7,168.97 and 3,069.68 is: 4,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.24 : 7,168.97 = 3,069.68 : x
  2. Step 2: Convert to fraction form
    5,194.24/7,168.97 = 3,069.68/x
  3. Step 3: Cross multiply
    5,194.24x = 7,168.97 × 3,069.68
  4. Step 4: Simplify right side
    5,194.24x = 22,006,428.48
  5. Step 5: Solve for x
    x = 22,006,428.48/5,194.24
  6. Step 6: Final answer
    x = 4,236.70

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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.