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Finding the Fourth Proportional to 3,982.26, 5,944.08 and 3,465.90

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Solution

The fourth proportional to 3,982.26, 5,944.08 and 3,465.90 is: 5,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.26 : 5,944.08 = 3,465.90 : x
  2. Step 2: Convert to fraction form
    3,982.26/5,944.08 = 3,465.90/x
  3. Step 3: Cross multiply
    3,982.26x = 5,944.08 × 3,465.90
  4. Step 4: Simplify right side
    3,982.26x = 20,601,586.87
  5. Step 5: Solve for x
    x = 20,601,586.87/3,982.26
  6. Step 6: Final answer
    x = 5,173.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.