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Finding the Fourth Proportional to 6,074.71, 8,382.89 and 3,422.09

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Solution

The fourth proportional to 6,074.71, 8,382.89 and 3,422.09 is: 4,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.71 : 8,382.89 = 3,422.09 : x
  2. Step 2: Convert to fraction form
    6,074.71/8,382.89 = 3,422.09/x
  3. Step 3: Cross multiply
    6,074.71x = 8,382.89 × 3,422.09
  4. Step 4: Simplify right side
    6,074.71x = 28,687,033.55
  5. Step 5: Solve for x
    x = 28,687,033.55/6,074.71
  6. Step 6: Final answer
    x = 4,722.37

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Why These Related Problems?

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