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Finding the Fourth Proportional to 6,189.89, 8,543.31 and 4,201.09

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Solution

The fourth proportional to 6,189.89, 8,543.31 and 4,201.09 is: 5,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.89 : 8,543.31 = 4,201.09 : x
  2. Step 2: Convert to fraction form
    6,189.89/8,543.31 = 4,201.09/x
  3. Step 3: Cross multiply
    6,189.89x = 8,543.31 × 4,201.09
  4. Step 4: Simplify right side
    6,189.89x = 35,891,218.85
  5. Step 5: Solve for x
    x = 35,891,218.85/6,189.89
  6. Step 6: Final answer
    x = 5,798.36

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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.