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Finding the Fourth Proportional to 3,649.22, 5,473.19 and 1,183.68

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Solution

The fourth proportional to 3,649.22, 5,473.19 and 1,183.68 is: 1,775.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.22 : 5,473.19 = 1,183.68 : x
  2. Step 2: Convert to fraction form
    3,649.22/5,473.19 = 1,183.68/x
  3. Step 3: Cross multiply
    3,649.22x = 5,473.19 × 1,183.68
  4. Step 4: Simplify right side
    3,649.22x = 6,478,505.54
  5. Step 5: Solve for x
    x = 6,478,505.54/3,649.22
  6. Step 6: Final answer
    x = 1,775.31

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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.