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Finding the Fourth Proportional to 5,802.99, 8,704.48 and 2,105.22

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Solution

The fourth proportional to 5,802.99, 8,704.48 and 2,105.22 is: 3,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.99 : 8,704.48 = 2,105.22 : x
  2. Step 2: Convert to fraction form
    5,802.99/8,704.48 = 2,105.22/x
  3. Step 3: Cross multiply
    5,802.99x = 8,704.48 × 2,105.22
  4. Step 4: Simplify right side
    5,802.99x = 18,324,845.39
  5. Step 5: Solve for x
    x = 18,324,845.39/5,802.99
  6. Step 6: Final answer
    x = 3,157.83

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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.