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Finding the Fourth Proportional to 5,270.56, 7,906.62 and 3,192.16

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Solution

The fourth proportional to 5,270.56, 7,906.62 and 3,192.16 is: 4,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.56 : 7,906.62 = 3,192.16 : x
  2. Step 2: Convert to fraction form
    5,270.56/7,906.62 = 3,192.16/x
  3. Step 3: Cross multiply
    5,270.56x = 7,906.62 × 3,192.16
  4. Step 4: Simplify right side
    5,270.56x = 25,239,196.10
  5. Step 5: Solve for x
    x = 25,239,196.10/5,270.56
  6. Step 6: Final answer
    x = 4,788.71

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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.