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Finding the Fourth Proportional to 5,744.39, 8,608.32 and 3,274.11

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Solution

The fourth proportional to 5,744.39, 8,608.32 and 3,274.11 is: 4,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.39 : 8,608.32 = 3,274.11 : x
  2. Step 2: Convert to fraction form
    5,744.39/8,608.32 = 3,274.11/x
  3. Step 3: Cross multiply
    5,744.39x = 8,608.32 × 3,274.11
  4. Step 4: Simplify right side
    5,744.39x = 28,184,586.60
  5. Step 5: Solve for x
    x = 28,184,586.60/5,744.39
  6. Step 6: Final answer
    x = 4,906.46

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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.