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Finding the Fourth Proportional to 6,375.96, 8,799.61 and 3,858.95

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Solution

The fourth proportional to 6,375.96, 8,799.61 and 3,858.95 is: 5,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.96 : 8,799.61 = 3,858.95 : x
  2. Step 2: Convert to fraction form
    6,375.96/8,799.61 = 3,858.95/x
  3. Step 3: Cross multiply
    6,375.96x = 8,799.61 × 3,858.95
  4. Step 4: Simplify right side
    6,375.96x = 33,957,255.01
  5. Step 5: Solve for x
    x = 33,957,255.01/6,375.96
  6. Step 6: Final answer
    x = 5,325.83

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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.