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Finding the Fourth Proportional to 4,138.60, 6,197.10 and 3,267.40

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Solution

The fourth proportional to 4,138.60, 6,197.10 and 3,267.40 is: 4,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.60 : 6,197.10 = 3,267.40 : x
  2. Step 2: Convert to fraction form
    4,138.60/6,197.10 = 3,267.40/x
  3. Step 3: Cross multiply
    4,138.60x = 6,197.10 × 3,267.40
  4. Step 4: Simplify right side
    4,138.60x = 20,248,404.54
  5. Step 5: Solve for x
    x = 20,248,404.54/4,138.60
  6. Step 6: Final answer
    x = 4,892.57

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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.