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Finding the Fourth Proportional to 6,205.09, 8,559.24 and 3,685.49

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Solution

The fourth proportional to 6,205.09, 8,559.24 and 3,685.49 is: 5,083.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.09 : 8,559.24 = 3,685.49 : x
  2. Step 2: Convert to fraction form
    6,205.09/8,559.24 = 3,685.49/x
  3. Step 3: Cross multiply
    6,205.09x = 8,559.24 × 3,685.49
  4. Step 4: Simplify right side
    6,205.09x = 31,544,993.43
  5. Step 5: Solve for x
    x = 31,544,993.43/6,205.09
  6. Step 6: Final answer
    x = 5,083.73

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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.