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Finding the Fourth Proportional to 3,772.97, 5,205.27 and 2,780.62

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Solution

The fourth proportional to 3,772.97, 5,205.27 and 2,780.62 is: 3,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.97 : 5,205.27 = 2,780.62 : x
  2. Step 2: Convert to fraction form
    3,772.97/5,205.27 = 2,780.62/x
  3. Step 3: Cross multiply
    3,772.97x = 5,205.27 × 2,780.62
  4. Step 4: Simplify right side
    3,772.97x = 14,473,877.87
  5. Step 5: Solve for x
    x = 14,473,877.87/3,772.97
  6. Step 6: Final answer
    x = 3,836.20

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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.