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Finding the Fourth Proportional to 5,713.44, 8,568.31 and 1,816.93

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Solution

The fourth proportional to 5,713.44, 8,568.31 and 1,816.93 is: 2,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.44 : 8,568.31 = 1,816.93 : x
  2. Step 2: Convert to fraction form
    5,713.44/8,568.31 = 1,816.93/x
  3. Step 3: Cross multiply
    5,713.44x = 8,568.31 × 1,816.93
  4. Step 4: Simplify right side
    5,713.44x = 15,568,019.49
  5. Step 5: Solve for x
    x = 15,568,019.49/5,713.44
  6. Step 6: Final answer
    x = 2,724.81

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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.