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Finding the Fourth Proportional to 5,406.16, 8,109.64 and 1,895.78

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Solution

The fourth proportional to 5,406.16, 8,109.64 and 1,895.78 is: 2,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.16 : 8,109.64 = 1,895.78 : x
  2. Step 2: Convert to fraction form
    5,406.16/8,109.64 = 1,895.78/x
  3. Step 3: Cross multiply
    5,406.16x = 8,109.64 × 1,895.78
  4. Step 4: Simplify right side
    5,406.16x = 15,374,093.32
  5. Step 5: Solve for x
    x = 15,374,093.32/5,406.16
  6. Step 6: Final answer
    x = 2,843.81

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