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Finding the Fourth Proportional to 3,797.20, 5,692.42 and 2,043.15

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Solution

The fourth proportional to 3,797.20, 5,692.42 and 2,043.15 is: 3,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.20 : 5,692.42 = 2,043.15 : x
  2. Step 2: Convert to fraction form
    3,797.20/5,692.42 = 2,043.15/x
  3. Step 3: Cross multiply
    3,797.20x = 5,692.42 × 2,043.15
  4. Step 4: Simplify right side
    3,797.20x = 11,630,467.92
  5. Step 5: Solve for x
    x = 11,630,467.92/3,797.20
  6. Step 6: Final answer
    x = 3,062.91

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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.