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Finding the Fourth Proportional to 4,274.73, 6,412.10 and 3,414.51

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Solution

The fourth proportional to 4,274.73, 6,412.10 and 3,414.51 is: 5,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.73 : 6,412.10 = 3,414.51 : x
  2. Step 2: Convert to fraction form
    4,274.73/6,412.10 = 3,414.51/x
  3. Step 3: Cross multiply
    4,274.73x = 6,412.10 × 3,414.51
  4. Step 4: Simplify right side
    4,274.73x = 21,894,179.57
  5. Step 5: Solve for x
    x = 21,894,179.57/4,274.73
  6. Step 6: Final answer
    x = 5,121.77

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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.