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Finding the Fourth Proportional to 3,471.26, 5,206.96 and 1,131.26

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Solution

The fourth proportional to 3,471.26, 5,206.96 and 1,131.26 is: 1,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.26 : 5,206.96 = 1,131.26 : x
  2. Step 2: Convert to fraction form
    3,471.26/5,206.96 = 1,131.26/x
  3. Step 3: Cross multiply
    3,471.26x = 5,206.96 × 1,131.26
  4. Step 4: Simplify right side
    3,471.26x = 5,890,396.71
  5. Step 5: Solve for x
    x = 5,890,396.71/3,471.26
  6. Step 6: Final answer
    x = 1,696.91

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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.