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Finding the Fourth Proportional to 3,757.80, 5,644.62 and 2,297.64

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Solution

The fourth proportional to 3,757.80, 5,644.62 and 2,297.64 is: 3,451.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.80 : 5,644.62 = 2,297.64 : x
  2. Step 2: Convert to fraction form
    3,757.80/5,644.62 = 2,297.64/x
  3. Step 3: Cross multiply
    3,757.80x = 5,644.62 × 2,297.64
  4. Step 4: Simplify right side
    3,757.80x = 12,969,304.70
  5. Step 5: Solve for x
    x = 12,969,304.70/3,757.80
  6. Step 6: Final answer
    x = 3,451.30

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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.