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Finding the Fourth Proportional to 3,475.71, 5,213.97 and 2,744.28

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Solution

The fourth proportional to 3,475.71, 5,213.97 and 2,744.28 is: 4,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.71 : 5,213.97 = 2,744.28 : x
  2. Step 2: Convert to fraction form
    3,475.71/5,213.97 = 2,744.28/x
  3. Step 3: Cross multiply
    3,475.71x = 5,213.97 × 2,744.28
  4. Step 4: Simplify right side
    3,475.71x = 14,308,593.59
  5. Step 5: Solve for x
    x = 14,308,593.59/3,475.71
  6. Step 6: Final answer
    x = 4,116.74

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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.