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Finding the Fourth Proportional to 3,816.32, 5,735.41 and 2,257.17

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Solution

The fourth proportional to 3,816.32, 5,735.41 and 2,257.17 is: 3,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.32 : 5,735.41 = 2,257.17 : x
  2. Step 2: Convert to fraction form
    3,816.32/5,735.41 = 2,257.17/x
  3. Step 3: Cross multiply
    3,816.32x = 5,735.41 × 2,257.17
  4. Step 4: Simplify right side
    3,816.32x = 12,945,768.24
  5. Step 5: Solve for x
    x = 12,945,768.24/3,816.32
  6. Step 6: Final answer
    x = 3,392.22

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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.