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Finding the Fourth Proportional to 5,207.86, 7,186.89 and 2,850.22

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Solution

The fourth proportional to 5,207.86, 7,186.89 and 2,850.22 is: 3,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.86 : 7,186.89 = 2,850.22 : x
  2. Step 2: Convert to fraction form
    5,207.86/7,186.89 = 2,850.22/x
  3. Step 3: Cross multiply
    5,207.86x = 7,186.89 × 2,850.22
  4. Step 4: Simplify right side
    5,207.86x = 20,484,217.62
  5. Step 5: Solve for x
    x = 20,484,217.62/5,207.86
  6. Step 6: Final answer
    x = 3,933.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.