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Finding the Fourth Proportional to 3,879.24, 5,817.83 and 1,687.47

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Solution

The fourth proportional to 3,879.24, 5,817.83 and 1,687.47 is: 2,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.24 : 5,817.83 = 1,687.47 : x
  2. Step 2: Convert to fraction form
    3,879.24/5,817.83 = 1,687.47/x
  3. Step 3: Cross multiply
    3,879.24x = 5,817.83 × 1,687.47
  4. Step 4: Simplify right side
    3,879.24x = 9,817,405.15
  5. Step 5: Solve for x
    x = 9,817,405.15/3,879.24
  6. Step 6: Final answer
    x = 2,530.75

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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.