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Finding the Fourth Proportional to 3,800.37, 5,697.83 and 1,797.95

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Solution

The fourth proportional to 3,800.37, 5,697.83 and 1,797.95 is: 2,695.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.37 : 5,697.83 = 1,797.95 : x
  2. Step 2: Convert to fraction form
    3,800.37/5,697.83 = 1,797.95/x
  3. Step 3: Cross multiply
    3,800.37x = 5,697.83 × 1,797.95
  4. Step 4: Simplify right side
    3,800.37x = 10,244,418.70
  5. Step 5: Solve for x
    x = 10,244,418.70/3,800.37
  6. Step 6: Final answer
    x = 2,695.64

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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.