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Finding the Fourth Proportional to 3,650.67, 5,464.26 and 2,003.13

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Solution

The fourth proportional to 3,650.67, 5,464.26 and 2,003.13 is: 2,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.67 : 5,464.26 = 2,003.13 : x
  2. Step 2: Convert to fraction form
    3,650.67/5,464.26 = 2,003.13/x
  3. Step 3: Cross multiply
    3,650.67x = 5,464.26 × 2,003.13
  4. Step 4: Simplify right side
    3,650.67x = 10,945,623.13
  5. Step 5: Solve for x
    x = 10,945,623.13/3,650.67
  6. Step 6: Final answer
    x = 2,998.25

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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.