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Finding the Fourth Proportional to 4,942.68, 7,414.05 and 1,479.96

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Solution

The fourth proportional to 4,942.68, 7,414.05 and 1,479.96 is: 2,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.68 : 7,414.05 = 1,479.96 : x
  2. Step 2: Convert to fraction form
    4,942.68/7,414.05 = 1,479.96/x
  3. Step 3: Cross multiply
    4,942.68x = 7,414.05 × 1,479.96
  4. Step 4: Simplify right side
    4,942.68x = 10,972,497.44
  5. Step 5: Solve for x
    x = 10,972,497.44/4,942.68
  6. Step 6: Final answer
    x = 2,219.95

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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.