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Finding the Fourth Proportional to 3,611.86, 5,420.25 and 1,664.08

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Solution

The fourth proportional to 3,611.86, 5,420.25 and 1,664.08 is: 2,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.86 : 5,420.25 = 1,664.08 : x
  2. Step 2: Convert to fraction form
    3,611.86/5,420.25 = 1,664.08/x
  3. Step 3: Cross multiply
    3,611.86x = 5,420.25 × 1,664.08
  4. Step 4: Simplify right side
    3,611.86x = 9,019,716.07
  5. Step 5: Solve for x
    x = 9,019,716.07/3,611.86
  6. Step 6: Final answer
    x = 2,497.25

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