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Finding the Fourth Proportional to 5,744.96, 8,617.32 and 3,274.52

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Solution

The fourth proportional to 5,744.96, 8,617.32 and 3,274.52 is: 4,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.96 : 8,617.32 = 3,274.52 : x
  2. Step 2: Convert to fraction form
    5,744.96/8,617.32 = 3,274.52/x
  3. Step 3: Cross multiply
    5,744.96x = 8,617.32 × 3,274.52
  4. Step 4: Simplify right side
    5,744.96x = 28,217,586.69
  5. Step 5: Solve for x
    x = 28,217,586.69/5,744.96
  6. Step 6: Final answer
    x = 4,911.71

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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.