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Finding the Fourth Proportional to 4,142.44, 6,222.30 and 2,414.44

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Solution

The fourth proportional to 4,142.44, 6,222.30 and 2,414.44 is: 3,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.44 : 6,222.30 = 2,414.44 : x
  2. Step 2: Convert to fraction form
    4,142.44/6,222.30 = 2,414.44/x
  3. Step 3: Cross multiply
    4,142.44x = 6,222.30 × 2,414.44
  4. Step 4: Simplify right side
    4,142.44x = 15,023,370.01
  5. Step 5: Solve for x
    x = 15,023,370.01/4,142.44
  6. Step 6: Final answer
    x = 3,626.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.