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Finding the Fourth Proportional to 5,738.64, 8,608.97 and 2,964.54

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Solution

The fourth proportional to 5,738.64, 8,608.97 and 2,964.54 is: 4,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.64 : 8,608.97 = 2,964.54 : x
  2. Step 2: Convert to fraction form
    5,738.64/8,608.97 = 2,964.54/x
  3. Step 3: Cross multiply
    5,738.64x = 8,608.97 × 2,964.54
  4. Step 4: Simplify right side
    5,738.64x = 25,521,635.92
  5. Step 5: Solve for x
    x = 25,521,635.92/5,738.64
  6. Step 6: Final answer
    x = 4,447.33

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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.