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Finding the Fourth Proportional to 5,192, 7,789.92 and 2,728.64

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Solution

The fourth proportional to 5,192, 7,789.92 and 2,728.64 is: 4,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,789.92 = 2,728.64 : x
  2. Step 2: Convert to fraction form
    5,192/7,789.92 = 2,728.64/x
  3. Step 3: Cross multiply
    5,192x = 7,789.92 × 2,728.64
  4. Step 4: Simplify right side
    5,192x = 21,255,887.31
  5. Step 5: Solve for x
    x = 21,255,887.31/5,192
  6. Step 6: Final answer
    x = 4,093.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.