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Finding the Fourth Proportional to 3,728.82, 5,145.86 and 2,157

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Solution

The fourth proportional to 3,728.82, 5,145.86 and 2,157 is: 2,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.82 : 5,145.86 = 2,157 : x
  2. Step 2: Convert to fraction form
    3,728.82/5,145.86 = 2,157/x
  3. Step 3: Cross multiply
    3,728.82x = 5,145.86 × 2,157
  4. Step 4: Simplify right side
    3,728.82x = 11,099,620.02
  5. Step 5: Solve for x
    x = 11,099,620.02/3,728.82
  6. Step 6: Final answer
    x = 2,976.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.