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Finding the Fourth Proportional to 5,179.94, 7,769.86 and 3,100.53

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Solution

The fourth proportional to 5,179.94, 7,769.86 and 3,100.53 is: 4,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.94 : 7,769.86 = 3,100.53 : x
  2. Step 2: Convert to fraction form
    5,179.94/7,769.86 = 3,100.53/x
  3. Step 3: Cross multiply
    5,179.94x = 7,769.86 × 3,100.53
  4. Step 4: Simplify right side
    5,179.94x = 24,090,668.80
  5. Step 5: Solve for x
    x = 24,090,668.80/5,179.94
  6. Step 6: Final answer
    x = 4,650.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.