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Finding the Fourth Proportional to 5,086.72, 7,632.91 and 2,746.67

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Solution

The fourth proportional to 5,086.72, 7,632.91 and 2,746.67 is: 4,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.72 : 7,632.91 = 2,746.67 : x
  2. Step 2: Convert to fraction form
    5,086.72/7,632.91 = 2,746.67/x
  3. Step 3: Cross multiply
    5,086.72x = 7,632.91 × 2,746.67
  4. Step 4: Simplify right side
    5,086.72x = 20,965,107.43
  5. Step 5: Solve for x
    x = 20,965,107.43/5,086.72
  6. Step 6: Final answer
    x = 4,121.54

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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.