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Finding the Fourth Proportional to 5,942.26, 8,202.09 and 3,846.52

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Solution

The fourth proportional to 5,942.26, 8,202.09 and 3,846.52 is: 5,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.26 : 8,202.09 = 3,846.52 : x
  2. Step 2: Convert to fraction form
    5,942.26/8,202.09 = 3,846.52/x
  3. Step 3: Cross multiply
    5,942.26x = 8,202.09 × 3,846.52
  4. Step 4: Simplify right side
    5,942.26x = 31,549,503.23
  5. Step 5: Solve for x
    x = 31,549,503.23/5,942.26
  6. Step 6: Final answer
    x = 5,309.34

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