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Finding the Fourth Proportional to 4,138.62, 6,201.78 and 3,263.26

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Solution

The fourth proportional to 4,138.62, 6,201.78 and 3,263.26 is: 4,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.62 : 6,201.78 = 3,263.26 : x
  2. Step 2: Convert to fraction form
    4,138.62/6,201.78 = 3,263.26/x
  3. Step 3: Cross multiply
    4,138.62x = 6,201.78 × 3,263.26
  4. Step 4: Simplify right side
    4,138.62x = 20,237,992.86
  5. Step 5: Solve for x
    x = 20,237,992.86/4,138.62
  6. Step 6: Final answer
    x = 4,890.03

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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.