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Finding the Fourth Proportional to 6,080.29, 8,382.46 and 3,841.05

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Solution

The fourth proportional to 6,080.29, 8,382.46 and 3,841.05 is: 5,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.29 : 8,382.46 = 3,841.05 : x
  2. Step 2: Convert to fraction form
    6,080.29/8,382.46 = 3,841.05/x
  3. Step 3: Cross multiply
    6,080.29x = 8,382.46 × 3,841.05
  4. Step 4: Simplify right side
    6,080.29x = 32,197,447.98
  5. Step 5: Solve for x
    x = 32,197,447.98/6,080.29
  6. Step 6: Final answer
    x = 5,295.38

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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.