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Finding the Fourth Proportional to 3,439.62, 5,157.09 and 1,589.71

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Solution

The fourth proportional to 3,439.62, 5,157.09 and 1,589.71 is: 2,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.62 : 5,157.09 = 1,589.71 : x
  2. Step 2: Convert to fraction form
    3,439.62/5,157.09 = 1,589.71/x
  3. Step 3: Cross multiply
    3,439.62x = 5,157.09 × 1,589.71
  4. Step 4: Simplify right side
    3,439.62x = 8,198,277.54
  5. Step 5: Solve for x
    x = 8,198,277.54/3,439.62
  6. Step 6: Final answer
    x = 2,383.48

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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.