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Finding the Fourth Proportional to 3,488.94, 4,814.73 and 1,996.89

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Solution

The fourth proportional to 3,488.94, 4,814.73 and 1,996.89 is: 2,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.94 : 4,814.73 = 1,996.89 : x
  2. Step 2: Convert to fraction form
    3,488.94/4,814.73 = 1,996.89/x
  3. Step 3: Cross multiply
    3,488.94x = 4,814.73 × 1,996.89
  4. Step 4: Simplify right side
    3,488.94x = 9,614,491.18
  5. Step 5: Solve for x
    x = 9,614,491.18/3,488.94
  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.