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Finding the Fourth Proportional to 5,151.63, 7,109.20 and 2,793.77

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Solution

The fourth proportional to 5,151.63, 7,109.20 and 2,793.77 is: 3,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.63 : 7,109.20 = 2,793.77 : x
  2. Step 2: Convert to fraction form
    5,151.63/7,109.20 = 2,793.77/x
  3. Step 3: Cross multiply
    5,151.63x = 7,109.20 × 2,793.77
  4. Step 4: Simplify right side
    5,151.63x = 19,861,469.68
  5. Step 5: Solve for x
    x = 19,861,469.68/5,151.63
  6. Step 6: Final answer
    x = 3,855.38

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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.