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Finding the Fourth Proportional to 3,820.80, 5,271.15 and 2,227.20

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Solution

The fourth proportional to 3,820.80, 5,271.15 and 2,227.20 is: 3,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.80 : 5,271.15 = 2,227.20 : x
  2. Step 2: Convert to fraction form
    3,820.80/5,271.15 = 2,227.20/x
  3. Step 3: Cross multiply
    3,820.80x = 5,271.15 × 2,227.20
  4. Step 4: Simplify right side
    3,820.80x = 11,739,905.28
  5. Step 5: Solve for x
    x = 11,739,905.28/3,820.80
  6. Step 6: Final answer
    x = 3,072.63

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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.