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Finding the Fourth Proportional to 3,787.97, 5,682.85 and 1,190.90

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Solution

The fourth proportional to 3,787.97, 5,682.85 and 1,190.90 is: 1,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.97 : 5,682.85 = 1,190.90 : x
  2. Step 2: Convert to fraction form
    3,787.97/5,682.85 = 1,190.90/x
  3. Step 3: Cross multiply
    3,787.97x = 5,682.85 × 1,190.90
  4. Step 4: Simplify right side
    3,787.97x = 6,767,706.07
  5. Step 5: Solve for x
    x = 6,767,706.07/3,787.97
  6. Step 6: Final answer
    x = 1,786.63

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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.