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Finding the Fourth Proportional to 6,091.09, 8,404.25 and 4,202.07

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Solution

The fourth proportional to 6,091.09, 8,404.25 and 4,202.07 is: 5,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.09 : 8,404.25 = 4,202.07 : x
  2. Step 2: Convert to fraction form
    6,091.09/8,404.25 = 4,202.07/x
  3. Step 3: Cross multiply
    6,091.09x = 8,404.25 × 4,202.07
  4. Step 4: Simplify right side
    6,091.09x = 35,315,246.80
  5. Step 5: Solve for x
    x = 35,315,246.80/6,091.09
  6. Step 6: Final answer
    x = 5,797.85

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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.