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Finding the Fourth Proportional to 4,132.78, 6,163.82 and 3,986.98

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Solution

The fourth proportional to 4,132.78, 6,163.82 and 3,986.98 is: 5,946.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.78 : 6,163.82 = 3,986.98 : x
  2. Step 2: Convert to fraction form
    4,132.78/6,163.82 = 3,986.98/x
  3. Step 3: Cross multiply
    4,132.78x = 6,163.82 × 3,986.98
  4. Step 4: Simplify right side
    4,132.78x = 24,575,027.06
  5. Step 5: Solve for x
    x = 24,575,027.06/4,132.78
  6. Step 6: Final answer
    x = 5,946.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.