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Finding the Fourth Proportional to 5,236.86, 7,227 and 2,879.22

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Solution

The fourth proportional to 5,236.86, 7,227 and 2,879.22 is: 3,973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.86 : 7,227 = 2,879.22 : x
  2. Step 2: Convert to fraction form
    5,236.86/7,227 = 2,879.22/x
  3. Step 3: Cross multiply
    5,236.86x = 7,227 × 2,879.22
  4. Step 4: Simplify right side
    5,236.86x = 20,808,122.94
  5. Step 5: Solve for x
    x = 20,808,122.94/5,236.86
  6. Step 6: Final answer
    x = 3,973.40

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Why These Related Problems?

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