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Finding the Fourth Proportional to 5,828.34, 8,043.08 and 3,175.74

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Solution

The fourth proportional to 5,828.34, 8,043.08 and 3,175.74 is: 4,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.34 : 8,043.08 = 3,175.74 : x
  2. Step 2: Convert to fraction form
    5,828.34/8,043.08 = 3,175.74/x
  3. Step 3: Cross multiply
    5,828.34x = 8,043.08 × 3,175.74
  4. Step 4: Simplify right side
    5,828.34x = 25,542,738.82
  5. Step 5: Solve for x
    x = 25,542,738.82/5,828.34
  6. Step 6: Final answer
    x = 4,382.51

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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.