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Finding the Fourth Proportional to 6,552.24, 9,822.82 and 2,659.38

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Solution

The fourth proportional to 6,552.24, 9,822.82 and 2,659.38 is: 3,986.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.24 : 9,822.82 = 2,659.38 : x
  2. Step 2: Convert to fraction form
    6,552.24/9,822.82 = 2,659.38/x
  3. Step 3: Cross multiply
    6,552.24x = 9,822.82 × 2,659.38
  4. Step 4: Simplify right side
    6,552.24x = 26,122,611.05
  5. Step 5: Solve for x
    x = 26,122,611.05/6,552.24
  6. Step 6: Final answer
    x = 3,986.82

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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.