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Finding the Fourth Proportional to 3,488.82, 4,814.69 and 1,996.61

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Solution

The fourth proportional to 3,488.82, 4,814.69 and 1,996.61 is: 2,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.82 : 4,814.69 = 1,996.61 : x
  2. Step 2: Convert to fraction form
    3,488.82/4,814.69 = 1,996.61/x
  3. Step 3: Cross multiply
    3,488.82x = 4,814.69 × 1,996.61
  4. Step 4: Simplify right side
    3,488.82x = 9,613,024.14
  5. Step 5: Solve for x
    x = 9,613,024.14/3,488.82
  6. Step 6: Final answer
    x = 2,755.38

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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.