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Finding the Fourth Proportional to 5,150.92, 7,728.42 and 2,231.28

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Solution

The fourth proportional to 5,150.92, 7,728.42 and 2,231.28 is: 3,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.92 : 7,728.42 = 2,231.28 : x
  2. Step 2: Convert to fraction form
    5,150.92/7,728.42 = 2,231.28/x
  3. Step 3: Cross multiply
    5,150.92x = 7,728.42 × 2,231.28
  4. Step 4: Simplify right side
    5,150.92x = 17,244,268.98
  5. Step 5: Solve for x
    x = 17,244,268.98/5,150.92
  6. Step 6: Final answer
    x = 3,347.80

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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.