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Finding the Fourth Proportional to 3,277.71, 4,523.67 and 2,019.09

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Solution

The fourth proportional to 3,277.71, 4,523.67 and 2,019.09 is: 2,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.71 : 4,523.67 = 2,019.09 : x
  2. Step 2: Convert to fraction form
    3,277.71/4,523.67 = 2,019.09/x
  3. Step 3: Cross multiply
    3,277.71x = 4,523.67 × 2,019.09
  4. Step 4: Simplify right side
    3,277.71x = 9,133,696.86
  5. Step 5: Solve for x
    x = 9,133,696.86/3,277.71
  6. Step 6: Final answer
    x = 2,786.61

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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.