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Finding the Fourth Proportional to 4,163.42, 6,245.14 and 1,532.82

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Solution

The fourth proportional to 4,163.42, 6,245.14 and 1,532.82 is: 2,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.42 : 6,245.14 = 1,532.82 : x
  2. Step 2: Convert to fraction form
    4,163.42/6,245.14 = 1,532.82/x
  3. Step 3: Cross multiply
    4,163.42x = 6,245.14 × 1,532.82
  4. Step 4: Simplify right side
    4,163.42x = 9,572,675.49
  5. Step 5: Solve for x
    x = 9,572,675.49/4,163.42
  6. Step 6: Final answer
    x = 2,299.23

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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.