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Finding the Fourth Proportional to 4,286.06, 5,914.80 and 2,517.69

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Solution

The fourth proportional to 4,286.06, 5,914.80 and 2,517.69 is: 3,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.06 : 5,914.80 = 2,517.69 : x
  2. Step 2: Convert to fraction form
    4,286.06/5,914.80 = 2,517.69/x
  3. Step 3: Cross multiply
    4,286.06x = 5,914.80 × 2,517.69
  4. Step 4: Simplify right side
    4,286.06x = 14,891,620.22
  5. Step 5: Solve for x
    x = 14,891,620.22/4,286.06
  6. Step 6: Final answer
    x = 3,474.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.