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Finding the Fourth Proportional to 4,144.58, 6,217.90 and 1,222.88

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Solution

The fourth proportional to 4,144.58, 6,217.90 and 1,222.88 is: 1,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.58 : 6,217.90 = 1,222.88 : x
  2. Step 2: Convert to fraction form
    4,144.58/6,217.90 = 1,222.88/x
  3. Step 3: Cross multiply
    4,144.58x = 6,217.90 × 1,222.88
  4. Step 4: Simplify right side
    4,144.58x = 7,603,745.55
  5. Step 5: Solve for x
    x = 7,603,745.55/4,144.58
  6. Step 6: Final answer
    x = 1,834.62

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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.