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Finding the Fourth Proportional to 4,138.08, 6,201.60 and 3,616.80

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Solution

The fourth proportional to 4,138.08, 6,201.60 and 3,616.80 is: 5,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.08 : 6,201.60 = 3,616.80 : x
  2. Step 2: Convert to fraction form
    4,138.08/6,201.60 = 3,616.80/x
  3. Step 3: Cross multiply
    4,138.08x = 6,201.60 × 3,616.80
  4. Step 4: Simplify right side
    4,138.08x = 22,429,946.88
  5. Step 5: Solve for x
    x = 22,429,946.88/4,138.08
  6. Step 6: Final answer
    x = 5,420.38

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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.