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Finding the Fourth Proportional to 3,093.06, 4,640.76 and 2,749

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Solution

The fourth proportional to 3,093.06, 4,640.76 and 2,749 is: 4,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.06 : 4,640.76 = 2,749 : x
  2. Step 2: Convert to fraction form
    3,093.06/4,640.76 = 2,749/x
  3. Step 3: Cross multiply
    3,093.06x = 4,640.76 × 2,749
  4. Step 4: Simplify right side
    3,093.06x = 12,757,449.24
  5. Step 5: Solve for x
    x = 12,757,449.24/3,093.06
  6. Step 6: Final answer
    x = 4,124.54

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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.