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Finding the Fourth Proportional to 5,192.50, 7,791.99 and 2,114.50

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Solution

The fourth proportional to 5,192.50, 7,791.99 and 2,114.50 is: 3,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.50 : 7,791.99 = 2,114.50 : x
  2. Step 2: Convert to fraction form
    5,192.50/7,791.99 = 2,114.50/x
  3. Step 3: Cross multiply
    5,192.50x = 7,791.99 × 2,114.50
  4. Step 4: Simplify right side
    5,192.50x = 16,476,162.86
  5. Step 5: Solve for x
    x = 16,476,162.86/5,192.50
  6. Step 6: Final answer
    x = 3,173.07

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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.