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Finding the Fourth Proportional to 3,767.64, 5,649.57 and 2,208.03

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Solution

The fourth proportional to 3,767.64, 5,649.57 and 2,208.03 is: 3,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.64 : 5,649.57 = 2,208.03 : x
  2. Step 2: Convert to fraction form
    3,767.64/5,649.57 = 2,208.03/x
  3. Step 3: Cross multiply
    3,767.64x = 5,649.57 × 2,208.03
  4. Step 4: Simplify right side
    3,767.64x = 12,474,420.05
  5. Step 5: Solve for x
    x = 12,474,420.05/3,767.64
  6. Step 6: Final answer
    x = 3,310.94

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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.