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Finding the Fourth Proportional to 3,488.65, 4,814.46 and 1,996.83

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Solution

The fourth proportional to 3,488.65, 4,814.46 and 1,996.83 is: 2,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.65 : 4,814.46 = 1,996.83 : x
  2. Step 2: Convert to fraction form
    3,488.65/4,814.46 = 1,996.83/x
  3. Step 3: Cross multiply
    3,488.65x = 4,814.46 × 1,996.83
  4. Step 4: Simplify right side
    3,488.65x = 9,613,658.16
  5. Step 5: Solve for x
    x = 9,613,658.16/3,488.65
  6. Step 6: Final answer
    x = 2,755.70

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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.