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Finding the Fourth Proportional to 5,442.53, 8,172 and 3,105.17

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Solution

The fourth proportional to 5,442.53, 8,172 and 3,105.17 is: 4,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.53 : 8,172 = 3,105.17 : x
  2. Step 2: Convert to fraction form
    5,442.53/8,172 = 3,105.17/x
  3. Step 3: Cross multiply
    5,442.53x = 8,172 × 3,105.17
  4. Step 4: Simplify right side
    5,442.53x = 25,375,449.24
  5. Step 5: Solve for x
    x = 25,375,449.24/5,442.53
  6. Step 6: Final answer
    x = 4,662.44

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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.