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Finding the Fourth Proportional to 4,114.72, 6,172.74 and 2,266.71

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Solution

The fourth proportional to 4,114.72, 6,172.74 and 2,266.71 is: 3,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.72 : 6,172.74 = 2,266.71 : x
  2. Step 2: Convert to fraction form
    4,114.72/6,172.74 = 2,266.71/x
  3. Step 3: Cross multiply
    4,114.72x = 6,172.74 × 2,266.71
  4. Step 4: Simplify right side
    4,114.72x = 13,991,811.49
  5. Step 5: Solve for x
    x = 13,991,811.49/4,114.72
  6. Step 6: Final answer
    x = 3,400.43

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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.