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Finding the Fourth Proportional to 6,571.42, 9,857.28 and 2,675.82

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Solution

The fourth proportional to 6,571.42, 9,857.28 and 2,675.82 is: 4,013.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.42 : 9,857.28 = 2,675.82 : x
  2. Step 2: Convert to fraction form
    6,571.42/9,857.28 = 2,675.82/x
  3. Step 3: Cross multiply
    6,571.42x = 9,857.28 × 2,675.82
  4. Step 4: Simplify right side
    6,571.42x = 26,376,306.97
  5. Step 5: Solve for x
    x = 26,376,306.97/6,571.42
  6. Step 6: Final answer
    x = 4,013.79

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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.