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Finding the Fourth Proportional to 6,382.27, 8,806.22 and 3,729.16

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Solution

The fourth proportional to 6,382.27, 8,806.22 and 3,729.16 is: 5,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.27 : 8,806.22 = 3,729.16 : x
  2. Step 2: Convert to fraction form
    6,382.27/8,806.22 = 3,729.16/x
  3. Step 3: Cross multiply
    6,382.27x = 8,806.22 × 3,729.16
  4. Step 4: Simplify right side
    6,382.27x = 32,839,838.95
  5. Step 5: Solve for x
    x = 32,839,838.95/6,382.27
  6. Step 6: Final answer
    x = 5,145.48

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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.