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Finding the Fourth Proportional to 4,175.96, 6,266.77 and 1,711.23

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Solution

The fourth proportional to 4,175.96, 6,266.77 and 1,711.23 is: 2,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.96 : 6,266.77 = 1,711.23 : x
  2. Step 2: Convert to fraction form
    4,175.96/6,266.77 = 1,711.23/x
  3. Step 3: Cross multiply
    4,175.96x = 6,266.77 × 1,711.23
  4. Step 4: Simplify right side
    4,175.96x = 10,723,857.05
  5. Step 5: Solve for x
    x = 10,723,857.05/4,175.96
  6. Step 6: Final answer
    x = 2,568.00

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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.