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Finding the Fourth Proportional to 3,820.05, 5,270.13 and 2,226.44

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Solution

The fourth proportional to 3,820.05, 5,270.13 and 2,226.44 is: 3,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.05 : 5,270.13 = 2,226.44 : x
  2. Step 2: Convert to fraction form
    3,820.05/5,270.13 = 2,226.44/x
  3. Step 3: Cross multiply
    3,820.05x = 5,270.13 × 2,226.44
  4. Step 4: Simplify right side
    3,820.05x = 11,733,641.41
  5. Step 5: Solve for x
    x = 11,733,641.41/3,820.05
  6. Step 6: Final answer
    x = 3,071.59

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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.