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Finding the Fourth Proportional to 3,414.44, 5,121.04 and 948.64

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Solution

The fourth proportional to 3,414.44, 5,121.04 and 948.64 is: 1,422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.44 : 5,121.04 = 948.64 : x
  2. Step 2: Convert to fraction form
    3,414.44/5,121.04 = 948.64/x
  3. Step 3: Cross multiply
    3,414.44x = 5,121.04 × 948.64
  4. Step 4: Simplify right side
    3,414.44x = 4,858,023.39
  5. Step 5: Solve for x
    x = 4,858,023.39/3,414.44
  6. Step 6: Final answer
    x = 1,422.79

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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.