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Finding the Fourth Proportional to 5,194.25, 7,163.07 and 3,496.58

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Solution

The fourth proportional to 5,194.25, 7,163.07 and 3,496.58 is: 4,821.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.25 : 7,163.07 = 3,496.58 : x
  2. Step 2: Convert to fraction form
    5,194.25/7,163.07 = 3,496.58/x
  3. Step 3: Cross multiply
    5,194.25x = 7,163.07 × 3,496.58
  4. Step 4: Simplify right side
    5,194.25x = 25,046,247.30
  5. Step 5: Solve for x
    x = 25,046,247.30/5,194.25
  6. Step 6: Final answer
    x = 4,821.92

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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.