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Finding the Fourth Proportional to 6,505.80, 9,744.30 and 2,608.20

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Solution

The fourth proportional to 6,505.80, 9,744.30 and 2,608.20 is: 3,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.80 : 9,744.30 = 2,608.20 : x
  2. Step 2: Convert to fraction form
    6,505.80/9,744.30 = 2,608.20/x
  3. Step 3: Cross multiply
    6,505.80x = 9,744.30 × 2,608.20
  4. Step 4: Simplify right side
    6,505.80x = 25,415,083.26
  5. Step 5: Solve for x
    x = 25,415,083.26/6,505.80
  6. Step 6: Final answer
    x = 3,906.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.