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Finding the Fourth Proportional to 3,689.14, 5,086.83 and 2,678.80

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Solution

The fourth proportional to 3,689.14, 5,086.83 and 2,678.80 is: 3,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.14 : 5,086.83 = 2,678.80 : x
  2. Step 2: Convert to fraction form
    3,689.14/5,086.83 = 2,678.80/x
  3. Step 3: Cross multiply
    3,689.14x = 5,086.83 × 2,678.80
  4. Step 4: Simplify right side
    3,689.14x = 13,626,600.20
  5. Step 5: Solve for x
    x = 13,626,600.20/3,689.14
  6. Step 6: Final answer
    x = 3,693.71

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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.