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Finding the Fourth Proportional to 3,772.38, 5,653.78 and 1,692.30

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Solution

The fourth proportional to 3,772.38, 5,653.78 and 1,692.30 is: 2,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.38 : 5,653.78 = 1,692.30 : x
  2. Step 2: Convert to fraction form
    3,772.38/5,653.78 = 1,692.30/x
  3. Step 3: Cross multiply
    3,772.38x = 5,653.78 × 1,692.30
  4. Step 4: Simplify right side
    3,772.38x = 9,567,891.89
  5. Step 5: Solve for x
    x = 9,567,891.89/3,772.38
  6. Step 6: Final answer
    x = 2,536.30

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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.