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Finding the Fourth Proportional to 3,476.28, 5,214.37 and 843.80

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Solution

The fourth proportional to 3,476.28, 5,214.37 and 843.80 is: 1,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.28 : 5,214.37 = 843.80 : x
  2. Step 2: Convert to fraction form
    3,476.28/5,214.37 = 843.80/x
  3. Step 3: Cross multiply
    3,476.28x = 5,214.37 × 843.80
  4. Step 4: Simplify right side
    3,476.28x = 4,399,883.30
  5. Step 5: Solve for x
    x = 4,399,883.30/3,476.28
  6. Step 6: Final answer
    x = 1,265.69

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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.