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Finding the Fourth Proportional to 3,796.61, 5,694.30 and 1,200.15

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Solution

The fourth proportional to 3,796.61, 5,694.30 and 1,200.15 is: 1,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.61 : 5,694.30 = 1,200.15 : x
  2. Step 2: Convert to fraction form
    3,796.61/5,694.30 = 1,200.15/x
  3. Step 3: Cross multiply
    3,796.61x = 5,694.30 × 1,200.15
  4. Step 4: Simplify right side
    3,796.61x = 6,834,014.15
  5. Step 5: Solve for x
    x = 6,834,014.15/3,796.61
  6. Step 6: Final answer
    x = 1,800.03

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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.