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Finding the Fourth Proportional to 6,317.22, 8,716.58 and 3,799.38

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Solution

The fourth proportional to 6,317.22, 8,716.58 and 3,799.38 is: 5,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.22 : 8,716.58 = 3,799.38 : x
  2. Step 2: Convert to fraction form
    6,317.22/8,716.58 = 3,799.38/x
  3. Step 3: Cross multiply
    6,317.22x = 8,716.58 × 3,799.38
  4. Step 4: Simplify right side
    6,317.22x = 33,117,599.72
  5. Step 5: Solve for x
    x = 33,117,599.72/6,317.22
  6. Step 6: Final answer
    x = 5,242.43

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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.