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Finding the Fourth Proportional to 3,414.05, 5,121.44 and 948.88

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Solution

The fourth proportional to 3,414.05, 5,121.44 and 948.88 is: 1,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.05 : 5,121.44 = 948.88 : x
  2. Step 2: Convert to fraction form
    3,414.05/5,121.44 = 948.88/x
  3. Step 3: Cross multiply
    3,414.05x = 5,121.44 × 948.88
  4. Step 4: Simplify right side
    3,414.05x = 4,859,601.64
  5. Step 5: Solve for x
    x = 4,859,601.64/3,414.05
  6. Step 6: Final answer
    x = 1,423.41

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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.