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Finding the Fourth Proportional to 3,488.48, 4,814.21 and 1,996.88

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Solution

The fourth proportional to 3,488.48, 4,814.21 and 1,996.88 is: 2,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.48 : 4,814.21 = 1,996.88 : x
  2. Step 2: Convert to fraction form
    3,488.48/4,814.21 = 1,996.88/x
  3. Step 3: Cross multiply
    3,488.48x = 4,814.21 × 1,996.88
  4. Step 4: Simplify right side
    3,488.48x = 9,613,365.61
  5. Step 5: Solve for x
    x = 9,613,365.61/3,488.48
  6. Step 6: Final answer
    x = 2,755.75

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