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Finding the Fourth Proportional to 5,717.44, 7,888.24 and 3,199.20

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Solution

The fourth proportional to 5,717.44, 7,888.24 and 3,199.20 is: 4,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.44 : 7,888.24 = 3,199.20 : x
  2. Step 2: Convert to fraction form
    5,717.44/7,888.24 = 3,199.20/x
  3. Step 3: Cross multiply
    5,717.44x = 7,888.24 × 3,199.20
  4. Step 4: Simplify right side
    5,717.44x = 25,236,057.41
  5. Step 5: Solve for x
    x = 25,236,057.41/5,717.44
  6. Step 6: Final answer
    x = 4,413.87

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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.