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Finding the Fourth Proportional to 3,662, 5,493.72 and 1,878.56

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Solution

The fourth proportional to 3,662, 5,493.72 and 1,878.56 is: 2,818.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662 : 5,493.72 = 1,878.56 : x
  2. Step 2: Convert to fraction form
    3,662/5,493.72 = 1,878.56/x
  3. Step 3: Cross multiply
    3,662x = 5,493.72 × 1,878.56
  4. Step 4: Simplify right side
    3,662x = 10,320,282.64
  5. Step 5: Solve for x
    x = 10,320,282.64/3,662
  6. Step 6: Final answer
    x = 2,818.21

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