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Finding the Fourth Proportional to 5,092.88, 7,632.63 and 2,167.56

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Solution

The fourth proportional to 5,092.88, 7,632.63 and 2,167.56 is: 3,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.88 : 7,632.63 = 2,167.56 : x
  2. Step 2: Convert to fraction form
    5,092.88/7,632.63 = 2,167.56/x
  3. Step 3: Cross multiply
    5,092.88x = 7,632.63 × 2,167.56
  4. Step 4: Simplify right side
    5,092.88x = 16,544,183.48
  5. Step 5: Solve for x
    x = 16,544,183.48/5,092.88
  6. Step 6: Final answer
    x = 3,248.50

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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.