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Finding the Fourth Proportional to 2,773.72, 3,828.21 and 2,649.16

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Solution

The fourth proportional to 2,773.72, 3,828.21 and 2,649.16 is: 3,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.72 : 3,828.21 = 2,649.16 : x
  2. Step 2: Convert to fraction form
    2,773.72/3,828.21 = 2,649.16/x
  3. Step 3: Cross multiply
    2,773.72x = 3,828.21 × 2,649.16
  4. Step 4: Simplify right side
    2,773.72x = 10,141,540.80
  5. Step 5: Solve for x
    x = 10,141,540.80/2,773.72
  6. Step 6: Final answer
    x = 3,656.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.