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Finding the Fourth Proportional to 5,999.06, 8,277.27 and 3,640.76

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Solution

The fourth proportional to 5,999.06, 8,277.27 and 3,640.76 is: 5,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.06 : 8,277.27 = 3,640.76 : x
  2. Step 2: Convert to fraction form
    5,999.06/8,277.27 = 3,640.76/x
  3. Step 3: Cross multiply
    5,999.06x = 8,277.27 × 3,640.76
  4. Step 4: Simplify right side
    5,999.06x = 30,135,553.53
  5. Step 5: Solve for x
    x = 30,135,553.53/5,999.06
  6. Step 6: Final answer
    x = 5,023.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.