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Finding the Fourth Proportional to 6,371.08, 8,791.40 and 3,854.21

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Solution

The fourth proportional to 6,371.08, 8,791.40 and 3,854.21 is: 5,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.08 : 8,791.40 = 3,854.21 : x
  2. Step 2: Convert to fraction form
    6,371.08/8,791.40 = 3,854.21/x
  3. Step 3: Cross multiply
    6,371.08x = 8,791.40 × 3,854.21
  4. Step 4: Simplify right side
    6,371.08x = 33,883,867.47
  5. Step 5: Solve for x
    x = 33,883,867.47/6,371.08
  6. Step 6: Final answer
    x = 5,318.39

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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.