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Finding the Fourth Proportional to 4,105.95, 6,146.20 and 3,319.39

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Solution

The fourth proportional to 4,105.95, 6,146.20 and 3,319.39 is: 4,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.95 : 6,146.20 = 3,319.39 : x
  2. Step 2: Convert to fraction form
    4,105.95/6,146.20 = 3,319.39/x
  3. Step 3: Cross multiply
    4,105.95x = 6,146.20 × 3,319.39
  4. Step 4: Simplify right side
    4,105.95x = 20,401,611.15
  5. Step 5: Solve for x
    x = 20,401,611.15/4,105.95
  6. Step 6: Final answer
    x = 4,968.79

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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.