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Finding the Fourth Proportional to 5,197.43, 7,796.16 and 1,499.68

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Solution

The fourth proportional to 5,197.43, 7,796.16 and 1,499.68 is: 2,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.43 : 7,796.16 = 1,499.68 : x
  2. Step 2: Convert to fraction form
    5,197.43/7,796.16 = 1,499.68/x
  3. Step 3: Cross multiply
    5,197.43x = 7,796.16 × 1,499.68
  4. Step 4: Simplify right side
    5,197.43x = 11,691,706.25
  5. Step 5: Solve for x
    x = 11,691,706.25/5,197.43
  6. Step 6: Final answer
    x = 2,249.52

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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.