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Finding the Fourth Proportional to 5,718.24, 8,578.05 and 2,019.71

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Solution

The fourth proportional to 5,718.24, 8,578.05 and 2,019.71 is: 3,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.24 : 8,578.05 = 2,019.71 : x
  2. Step 2: Convert to fraction form
    5,718.24/8,578.05 = 2,019.71/x
  3. Step 3: Cross multiply
    5,718.24x = 8,578.05 × 2,019.71
  4. Step 4: Simplify right side
    5,718.24x = 17,325,163.27
  5. Step 5: Solve for x
    x = 17,325,163.27/5,718.24
  6. Step 6: Final answer
    x = 3,029.81

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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.