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Finding the Fourth Proportional to 3,471.21, 5,204.37 and 1,279.65

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Solution

The fourth proportional to 3,471.21, 5,204.37 and 1,279.65 is: 1,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.21 : 5,204.37 = 1,279.65 : x
  2. Step 2: Convert to fraction form
    3,471.21/5,204.37 = 1,279.65/x
  3. Step 3: Cross multiply
    3,471.21x = 5,204.37 × 1,279.65
  4. Step 4: Simplify right side
    3,471.21x = 6,659,772.07
  5. Step 5: Solve for x
    x = 6,659,772.07/3,471.21
  6. Step 6: Final answer
    x = 1,918.57

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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.