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Finding the Fourth Proportional to 5,115.86, 7,667.50 and 2,649.27

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Solution

The fourth proportional to 5,115.86, 7,667.50 and 2,649.27 is: 3,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.86 : 7,667.50 = 2,649.27 : x
  2. Step 2: Convert to fraction form
    5,115.86/7,667.50 = 2,649.27/x
  3. Step 3: Cross multiply
    5,115.86x = 7,667.50 × 2,649.27
  4. Step 4: Simplify right side
    5,115.86x = 20,313,277.73
  5. Step 5: Solve for x
    x = 20,313,277.73/5,115.86
  6. Step 6: Final answer
    x = 3,970.65

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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.