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Finding the Fourth Proportional to 3,772.62, 5,206.41 and 2,839.50

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Solution

The fourth proportional to 3,772.62, 5,206.41 and 2,839.50 is: 3,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.62 : 5,206.41 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    3,772.62/5,206.41 = 2,839.50/x
  3. Step 3: Cross multiply
    3,772.62x = 5,206.41 × 2,839.50
  4. Step 4: Simplify right side
    3,772.62x = 14,783,601.20
  5. Step 5: Solve for x
    x = 14,783,601.20/3,772.62
  6. Step 6: Final answer
    x = 3,918.66

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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.