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Finding the Fourth Proportional to 3,825.48, 5,735.46 and 1,879.05

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Solution

The fourth proportional to 3,825.48, 5,735.46 and 1,879.05 is: 2,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.48 : 5,735.46 = 1,879.05 : x
  2. Step 2: Convert to fraction form
    3,825.48/5,735.46 = 1,879.05/x
  3. Step 3: Cross multiply
    3,825.48x = 5,735.46 × 1,879.05
  4. Step 4: Simplify right side
    3,825.48x = 10,777,216.11
  5. Step 5: Solve for x
    x = 10,777,216.11/3,825.48
  6. Step 6: Final answer
    x = 2,817.22

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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.