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Finding the Fourth Proportional to 3,820.80, 5,273.01 and 2,249.20

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Solution

The fourth proportional to 3,820.80, 5,273.01 and 2,249.20 is: 3,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.80 : 5,273.01 = 2,249.20 : x
  2. Step 2: Convert to fraction form
    3,820.80/5,273.01 = 2,249.20/x
  3. Step 3: Cross multiply
    3,820.80x = 5,273.01 × 2,249.20
  4. Step 4: Simplify right side
    3,820.80x = 11,860,054.09
  5. Step 5: Solve for x
    x = 11,860,054.09/3,820.80
  6. Step 6: Final answer
    x = 3,104.08

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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.