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Finding the Fourth Proportional to 3,677.94, 5,517.36 and 1,213.02

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Solution

The fourth proportional to 3,677.94, 5,517.36 and 1,213.02 is: 1,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.94 : 5,517.36 = 1,213.02 : x
  2. Step 2: Convert to fraction form
    3,677.94/5,517.36 = 1,213.02/x
  3. Step 3: Cross multiply
    3,677.94x = 5,517.36 × 1,213.02
  4. Step 4: Simplify right side
    3,677.94x = 6,692,668.03
  5. Step 5: Solve for x
    x = 6,692,668.03/3,677.94
  6. Step 6: Final answer
    x = 1,819.68

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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.