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Finding the Fourth Proportional to 3,801.62, 5,704.82 and 3,770.28

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Solution

The fourth proportional to 3,801.62, 5,704.82 and 3,770.28 is: 5,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.62 : 5,704.82 = 3,770.28 : x
  2. Step 2: Convert to fraction form
    3,801.62/5,704.82 = 3,770.28/x
  3. Step 3: Cross multiply
    3,801.62x = 5,704.82 × 3,770.28
  4. Step 4: Simplify right side
    3,801.62x = 21,508,785.24
  5. Step 5: Solve for x
    x = 21,508,785.24/3,801.62
  6. Step 6: Final answer
    x = 5,657.80

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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.