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Finding the Fourth Proportional to 6,348.42, 8,761.85 and 3,796

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Solution

The fourth proportional to 6,348.42, 8,761.85 and 3,796 is: 5,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.42 : 8,761.85 = 3,796 : x
  2. Step 2: Convert to fraction form
    6,348.42/8,761.85 = 3,796/x
  3. Step 3: Cross multiply
    6,348.42x = 8,761.85 × 3,796
  4. Step 4: Simplify right side
    6,348.42x = 33,259,963.62
  5. Step 5: Solve for x
    x = 33,259,963.62/6,348.42
  6. Step 6: Final answer
    x = 5,239.10

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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.