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Finding the Fourth Proportional to 3,817.43, 5,724.22 and 1,351.90

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Solution

The fourth proportional to 3,817.43, 5,724.22 and 1,351.90 is: 2,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.43 : 5,724.22 = 1,351.90 : x
  2. Step 2: Convert to fraction form
    3,817.43/5,724.22 = 1,351.90/x
  3. Step 3: Cross multiply
    3,817.43x = 5,724.22 × 1,351.90
  4. Step 4: Simplify right side
    3,817.43x = 7,738,573.02
  5. Step 5: Solve for x
    x = 7,738,573.02/3,817.43
  6. Step 6: Final answer
    x = 2,027.17

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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.