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Finding the Fourth Proportional to 4,144.49, 6,216.12 and 1,511.38

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Solution

The fourth proportional to 4,144.49, 6,216.12 and 1,511.38 is: 2,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.49 : 6,216.12 = 1,511.38 : x
  2. Step 2: Convert to fraction form
    4,144.49/6,216.12 = 1,511.38/x
  3. Step 3: Cross multiply
    4,144.49x = 6,216.12 × 1,511.38
  4. Step 4: Simplify right side
    4,144.49x = 9,394,892.25
  5. Step 5: Solve for x
    x = 9,394,892.25/4,144.49
  6. Step 6: Final answer
    x = 2,266.84

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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.