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Finding the Fourth Proportional to 3,657.62, 5,485.37 and 2,608.89

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Solution

The fourth proportional to 3,657.62, 5,485.37 and 2,608.89 is: 3,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.62 : 5,485.37 = 2,608.89 : x
  2. Step 2: Convert to fraction form
    3,657.62/5,485.37 = 2,608.89/x
  3. Step 3: Cross multiply
    3,657.62x = 5,485.37 × 2,608.89
  4. Step 4: Simplify right side
    3,657.62x = 14,310,713.89
  5. Step 5: Solve for x
    x = 14,310,713.89/3,657.62
  6. Step 6: Final answer
    x = 3,912.58

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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.