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Finding the Fourth Proportional to 4,115.64, 5,679.58 and 2,227.22

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Solution

The fourth proportional to 4,115.64, 5,679.58 and 2,227.22 is: 3,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.64 : 5,679.58 = 2,227.22 : x
  2. Step 2: Convert to fraction form
    4,115.64/5,679.58 = 2,227.22/x
  3. Step 3: Cross multiply
    4,115.64x = 5,679.58 × 2,227.22
  4. Step 4: Simplify right side
    4,115.64x = 12,649,664.53
  5. Step 5: Solve for x
    x = 12,649,664.53/4,115.64
  6. Step 6: Final answer
    x = 3,073.56

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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.