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Finding the Fourth Proportional to 5,629.48, 7,760.44 and 3,945.80

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Solution

The fourth proportional to 5,629.48, 7,760.44 and 3,945.80 is: 5,439.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.48 : 7,760.44 = 3,945.80 : x
  2. Step 2: Convert to fraction form
    5,629.48/7,760.44 = 3,945.80/x
  3. Step 3: Cross multiply
    5,629.48x = 7,760.44 × 3,945.80
  4. Step 4: Simplify right side
    5,629.48x = 30,621,168.49
  5. Step 5: Solve for x
    x = 30,621,168.49/5,629.48
  6. Step 6: Final answer
    x = 5,439.43

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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.