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Finding the Fourth Proportional to 5,633.50, 7,772.91 and 3,274.30

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Solution

The fourth proportional to 5,633.50, 7,772.91 and 3,274.30 is: 4,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.50 : 7,772.91 = 3,274.30 : x
  2. Step 2: Convert to fraction form
    5,633.50/7,772.91 = 3,274.30/x
  3. Step 3: Cross multiply
    5,633.50x = 7,772.91 × 3,274.30
  4. Step 4: Simplify right side
    5,633.50x = 25,450,839.21
  5. Step 5: Solve for x
    x = 25,450,839.21/5,633.50
  6. Step 6: Final answer
    x = 4,517.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.