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Finding the Fourth Proportional to 3,795.46, 5,724.27 and 3,754.05

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Solution

The fourth proportional to 3,795.46, 5,724.27 and 3,754.05 is: 5,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.46 : 5,724.27 = 3,754.05 : x
  2. Step 2: Convert to fraction form
    3,795.46/5,724.27 = 3,754.05/x
  3. Step 3: Cross multiply
    3,795.46x = 5,724.27 × 3,754.05
  4. Step 4: Simplify right side
    3,795.46x = 21,489,174.33
  5. Step 5: Solve for x
    x = 21,489,174.33/3,795.46
  6. Step 6: Final answer
    x = 5,661.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.