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Finding the Fourth Proportional to 5,811.65, 8,717.81 and 2,114.27

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Solution

The fourth proportional to 5,811.65, 8,717.81 and 2,114.27 is: 3,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.65 : 8,717.81 = 2,114.27 : x
  2. Step 2: Convert to fraction form
    5,811.65/8,717.81 = 2,114.27/x
  3. Step 3: Cross multiply
    5,811.65x = 8,717.81 × 2,114.27
  4. Step 4: Simplify right side
    5,811.65x = 18,431,749.99
  5. Step 5: Solve for x
    x = 18,431,749.99/5,811.65
  6. Step 6: Final answer
    x = 3,171.52

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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.