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Finding the Fourth Proportional to 4,144.02, 6,217.02 and 2,974.56

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Solution

The fourth proportional to 4,144.02, 6,217.02 and 2,974.56 is: 4,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.02 : 6,217.02 = 2,974.56 : x
  2. Step 2: Convert to fraction form
    4,144.02/6,217.02 = 2,974.56/x
  3. Step 3: Cross multiply
    4,144.02x = 6,217.02 × 2,974.56
  4. Step 4: Simplify right side
    4,144.02x = 18,492,899.01
  5. Step 5: Solve for x
    x = 18,492,899.01/4,144.02
  6. Step 6: Final answer
    x = 4,462.55

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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.