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Finding the Fourth Proportional to 5,389.98, 8,081.73 and 2,099.22

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Solution

The fourth proportional to 5,389.98, 8,081.73 and 2,099.22 is: 3,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.98 : 8,081.73 = 2,099.22 : x
  2. Step 2: Convert to fraction form
    5,389.98/8,081.73 = 2,099.22/x
  3. Step 3: Cross multiply
    5,389.98x = 8,081.73 × 2,099.22
  4. Step 4: Simplify right side
    5,389.98x = 16,965,329.25
  5. Step 5: Solve for x
    x = 16,965,329.25/5,389.98
  6. Step 6: Final answer
    x = 3,147.57

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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.