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Finding the Fourth Proportional to 3,655.44, 5,481.90 and 2,266.68

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Solution

The fourth proportional to 3,655.44, 5,481.90 and 2,266.68 is: 3,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.44 : 5,481.90 = 2,266.68 : x
  2. Step 2: Convert to fraction form
    3,655.44/5,481.90 = 2,266.68/x
  3. Step 3: Cross multiply
    3,655.44x = 5,481.90 × 2,266.68
  4. Step 4: Simplify right side
    3,655.44x = 12,425,713.09
  5. Step 5: Solve for x
    x = 12,425,713.09/3,655.44
  6. Step 6: Final answer
    x = 3,399.24

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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.