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Finding the Fourth Proportional to 4,274.92, 6,412.38 and 3,414.70

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Solution

The fourth proportional to 4,274.92, 6,412.38 and 3,414.70 is: 5,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.92 : 6,412.38 = 3,414.70 : x
  2. Step 2: Convert to fraction form
    4,274.92/6,412.38 = 3,414.70/x
  3. Step 3: Cross multiply
    4,274.92x = 6,412.38 × 3,414.70
  4. Step 4: Simplify right side
    4,274.92x = 21,896,353.99
  5. Step 5: Solve for x
    x = 21,896,353.99/4,274.92
  6. Step 6: Final answer
    x = 5,122.05

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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.