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Finding the Fourth Proportional to 3,797.46, 5,695.38 and 2,157.12

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Solution

The fourth proportional to 3,797.46, 5,695.38 and 2,157.12 is: 3,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.46 : 5,695.38 = 2,157.12 : x
  2. Step 2: Convert to fraction form
    3,797.46/5,695.38 = 2,157.12/x
  3. Step 3: Cross multiply
    3,797.46x = 5,695.38 × 2,157.12
  4. Step 4: Simplify right side
    3,797.46x = 12,285,618.11
  5. Step 5: Solve for x
    x = 12,285,618.11/3,797.46
  6. Step 6: Final answer
    x = 3,235.22

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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.