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Finding the Fourth Proportional to 5,863, 8,090.97 and 4,372.24

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Solution

The fourth proportional to 5,863, 8,090.97 and 4,372.24 is: 6,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863 : 8,090.97 = 4,372.24 : x
  2. Step 2: Convert to fraction form
    5,863/8,090.97 = 4,372.24/x
  3. Step 3: Cross multiply
    5,863x = 8,090.97 × 4,372.24
  4. Step 4: Simplify right side
    5,863x = 35,375,662.67
  5. Step 5: Solve for x
    x = 35,375,662.67/5,863
  6. Step 6: Final answer
    x = 6,033.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.