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Finding the Fourth Proportional to 6,172.66, 8,517.90 and 3,519.64

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Solution

The fourth proportional to 6,172.66, 8,517.90 and 3,519.64 is: 4,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.66 : 8,517.90 = 3,519.64 : x
  2. Step 2: Convert to fraction form
    6,172.66/8,517.90 = 3,519.64/x
  3. Step 3: Cross multiply
    6,172.66x = 8,517.90 × 3,519.64
  4. Step 4: Simplify right side
    6,172.66x = 29,979,941.56
  5. Step 5: Solve for x
    x = 29,979,941.56/6,172.66
  6. Step 6: Final answer
    x = 4,856.89

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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.