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Finding the Fourth Proportional to 6,190.89, 8,544.69 and 4,202.09

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Solution

The fourth proportional to 6,190.89, 8,544.69 and 4,202.09 is: 5,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.89 : 8,544.69 = 4,202.09 : x
  2. Step 2: Convert to fraction form
    6,190.89/8,544.69 = 4,202.09/x
  3. Step 3: Cross multiply
    6,190.89x = 8,544.69 × 4,202.09
  4. Step 4: Simplify right side
    6,190.89x = 35,905,556.40
  5. Step 5: Solve for x
    x = 35,905,556.40/6,190.89
  6. Step 6: Final answer
    x = 5,799.74

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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.