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Finding the Fourth Proportional to 3,773.97, 5,660.62 and 1,433.97

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Solution

The fourth proportional to 3,773.97, 5,660.62 and 1,433.97 is: 2,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.97 : 5,660.62 = 1,433.97 : x
  2. Step 2: Convert to fraction form
    3,773.97/5,660.62 = 1,433.97/x
  3. Step 3: Cross multiply
    3,773.97x = 5,660.62 × 1,433.97
  4. Step 4: Simplify right side
    3,773.97x = 8,117,155.68
  5. Step 5: Solve for x
    x = 8,117,155.68/3,773.97
  6. Step 6: Final answer
    x = 2,150.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.