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Finding the Fourth Proportional to 3,382.90, 5,068.14 and 1,996.99

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Solution

The fourth proportional to 3,382.90, 5,068.14 and 1,996.99 is: 2,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.90 : 5,068.14 = 1,996.99 : x
  2. Step 2: Convert to fraction form
    3,382.90/5,068.14 = 1,996.99/x
  3. Step 3: Cross multiply
    3,382.90x = 5,068.14 × 1,996.99
  4. Step 4: Simplify right side
    3,382.90x = 10,121,024.90
  5. Step 5: Solve for x
    x = 10,121,024.90/3,382.90
  6. Step 6: Final answer
    x = 2,991.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.