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Finding the Fourth Proportional to 5,662.81, 8,489.37 and 2,150.83

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Solution

The fourth proportional to 5,662.81, 8,489.37 and 2,150.83 is: 3,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.81 : 8,489.37 = 2,150.83 : x
  2. Step 2: Convert to fraction form
    5,662.81/8,489.37 = 2,150.83/x
  3. Step 3: Cross multiply
    5,662.81x = 8,489.37 × 2,150.83
  4. Step 4: Simplify right side
    5,662.81x = 18,259,191.68
  5. Step 5: Solve for x
    x = 18,259,191.68/5,662.81
  6. Step 6: Final answer
    x = 3,224.40

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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.