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Finding the Fourth Proportional to 4,144.95, 6,220.14 and 2,198.52

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Solution

The fourth proportional to 4,144.95, 6,220.14 and 2,198.52 is: 3,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.95 : 6,220.14 = 2,198.52 : x
  2. Step 2: Convert to fraction form
    4,144.95/6,220.14 = 2,198.52/x
  3. Step 3: Cross multiply
    4,144.95x = 6,220.14 × 2,198.52
  4. Step 4: Simplify right side
    4,144.95x = 13,675,102.19
  5. Step 5: Solve for x
    x = 13,675,102.19/4,144.95
  6. Step 6: Final answer
    x = 3,299.22

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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.