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Finding the Fourth Proportional to 5,828.28, 8,042.74 and 3,175.68

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Solution

The fourth proportional to 5,828.28, 8,042.74 and 3,175.68 is: 4,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.28 : 8,042.74 = 3,175.68 : x
  2. Step 2: Convert to fraction form
    5,828.28/8,042.74 = 3,175.68/x
  3. Step 3: Cross multiply
    5,828.28x = 8,042.74 × 3,175.68
  4. Step 4: Simplify right side
    5,828.28x = 25,541,168.56
  5. Step 5: Solve for x
    x = 25,541,168.56/5,828.28
  6. Step 6: Final answer
    x = 4,382.28

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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.