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Finding the Fourth Proportional to 3,361.28, 4,640 and 2,257.92

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Solution

The fourth proportional to 3,361.28, 4,640 and 2,257.92 is: 3,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.28 : 4,640 = 2,257.92 : x
  2. Step 2: Convert to fraction form
    3,361.28/4,640 = 2,257.92/x
  3. Step 3: Cross multiply
    3,361.28x = 4,640 × 2,257.92
  4. Step 4: Simplify right side
    3,361.28x = 10,476,748.80
  5. Step 5: Solve for x
    x = 10,476,748.80/3,361.28
  6. Step 6: Final answer
    x = 3,116.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.