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Finding the Fourth Proportional to 5,727.16, 8,589.16 and 2,028.91

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Solution

The fourth proportional to 5,727.16, 8,589.16 and 2,028.91 is: 3,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.16 : 8,589.16 = 2,028.91 : x
  2. Step 2: Convert to fraction form
    5,727.16/8,589.16 = 2,028.91/x
  3. Step 3: Cross multiply
    5,727.16x = 8,589.16 × 2,028.91
  4. Step 4: Simplify right side
    5,727.16x = 17,426,632.62
  5. Step 5: Solve for x
    x = 17,426,632.62/5,727.16
  6. Step 6: Final answer
    x = 3,042.81

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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.