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Finding the Fourth Proportional to 5,093.07, 7,640.21 and 1,806.49

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Solution

The fourth proportional to 5,093.07, 7,640.21 and 1,806.49 is: 2,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.07 : 7,640.21 = 1,806.49 : x
  2. Step 2: Convert to fraction form
    5,093.07/7,640.21 = 1,806.49/x
  3. Step 3: Cross multiply
    5,093.07x = 7,640.21 × 1,806.49
  4. Step 4: Simplify right side
    5,093.07x = 13,801,962.96
  5. Step 5: Solve for x
    x = 13,801,962.96/5,093.07
  6. Step 6: Final answer
    x = 2,709.95

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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.