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Finding the Fourth Proportional to 5,194.23, 7,168.04 and 3,204.79

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Solution

The fourth proportional to 5,194.23, 7,168.04 and 3,204.79 is: 4,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.23 : 7,168.04 = 3,204.79 : x
  2. Step 2: Convert to fraction form
    5,194.23/7,168.04 = 3,204.79/x
  3. Step 3: Cross multiply
    5,194.23x = 7,168.04 × 3,204.79
  4. Step 4: Simplify right side
    5,194.23x = 22,972,062.91
  5. Step 5: Solve for x
    x = 22,972,062.91/5,194.23
  6. Step 6: Final answer
    x = 4,422.61

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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.