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Finding the Fourth Proportional to 3,772.26, 5,655.44 and 1,796.87

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Solution

The fourth proportional to 3,772.26, 5,655.44 and 1,796.87 is: 2,693.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.26 : 5,655.44 = 1,796.87 : x
  2. Step 2: Convert to fraction form
    3,772.26/5,655.44 = 1,796.87/x
  3. Step 3: Cross multiply
    3,772.26x = 5,655.44 × 1,796.87
  4. Step 4: Simplify right side
    3,772.26x = 10,162,053.21
  5. Step 5: Solve for x
    x = 10,162,053.21/3,772.26
  6. Step 6: Final answer
    x = 2,693.89

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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.