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Finding the Fourth Proportional to 5,218.98, 7,831 and 2,296.92

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Solution

The fourth proportional to 5,218.98, 7,831 and 2,296.92 is: 3,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.98 : 7,831 = 2,296.92 : x
  2. Step 2: Convert to fraction form
    5,218.98/7,831 = 2,296.92/x
  3. Step 3: Cross multiply
    5,218.98x = 7,831 × 2,296.92
  4. Step 4: Simplify right side
    5,218.98x = 17,987,180.52
  5. Step 5: Solve for x
    x = 17,987,180.52/5,218.98
  6. Step 6: Final answer
    x = 3,446.49

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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.