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Finding the Fourth Proportional to 5,389.89, 8,081.65 and 2,099.14

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Solution

The fourth proportional to 5,389.89, 8,081.65 and 2,099.14 is: 3,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.89 : 8,081.65 = 2,099.14 : x
  2. Step 2: Convert to fraction form
    5,389.89/8,081.65 = 2,099.14/x
  3. Step 3: Cross multiply
    5,389.89x = 8,081.65 × 2,099.14
  4. Step 4: Simplify right side
    5,389.89x = 16,964,514.03
  5. Step 5: Solve for x
    x = 16,964,514.03/5,389.89
  6. Step 6: Final answer
    x = 3,147.47

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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.