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Finding the Fourth Proportional to 5,194.72, 7,168.51 and 2,836.86

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Solution

The fourth proportional to 5,194.72, 7,168.51 and 2,836.86 is: 3,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.72 : 7,168.51 = 2,836.86 : x
  2. Step 2: Convert to fraction form
    5,194.72/7,168.51 = 2,836.86/x
  3. Step 3: Cross multiply
    5,194.72x = 7,168.51 × 2,836.86
  4. Step 4: Simplify right side
    5,194.72x = 20,336,059.28
  5. Step 5: Solve for x
    x = 20,336,059.28/5,194.72
  6. Step 6: Final answer
    x = 3,914.76

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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.