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Finding the Fourth Proportional to 5,998, 8,277.24 and 3,514

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Solution

The fourth proportional to 5,998, 8,277.24 and 3,514 is: 4,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998 : 8,277.24 = 3,514 : x
  2. Step 2: Convert to fraction form
    5,998/8,277.24 = 3,514/x
  3. Step 3: Cross multiply
    5,998x = 8,277.24 × 3,514
  4. Step 4: Simplify right side
    5,998x = 29,086,221.36
  5. Step 5: Solve for x
    x = 29,086,221.36/5,998
  6. Step 6: Final answer
    x = 4,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.