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Finding the Fourth Proportional to 6,205.26, 8,563.31 and 3,552.62

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Solution

The fourth proportional to 6,205.26, 8,563.31 and 3,552.62 is: 4,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.26 : 8,563.31 = 3,552.62 : x
  2. Step 2: Convert to fraction form
    6,205.26/8,563.31 = 3,552.62/x
  3. Step 3: Cross multiply
    6,205.26x = 8,563.31 × 3,552.62
  4. Step 4: Simplify right side
    6,205.26x = 30,422,125.79
  5. Step 5: Solve for x
    x = 30,422,125.79/6,205.26
  6. Step 6: Final answer
    x = 4,902.64

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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.