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Finding the Fourth Proportional to 3,878, 5,819.56 and 1,826.16

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Solution

The fourth proportional to 3,878, 5,819.56 and 1,826.16 is: 2,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878 : 5,819.56 = 1,826.16 : x
  2. Step 2: Convert to fraction form
    3,878/5,819.56 = 1,826.16/x
  3. Step 3: Cross multiply
    3,878x = 5,819.56 × 1,826.16
  4. Step 4: Simplify right side
    3,878x = 10,627,447.69
  5. Step 5: Solve for x
    x = 10,627,447.69/3,878
  6. Step 6: Final answer
    x = 2,740.45

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