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Finding the Fourth Proportional to 4,538.37, 6,805.62 and 1,904.16

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Solution

The fourth proportional to 4,538.37, 6,805.62 and 1,904.16 is: 2,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538.37 : 6,805.62 = 1,904.16 : x
  2. Step 2: Convert to fraction form
    4,538.37/6,805.62 = 1,904.16/x
  3. Step 3: Cross multiply
    4,538.37x = 6,805.62 × 1,904.16
  4. Step 4: Simplify right side
    4,538.37x = 12,958,989.38
  5. Step 5: Solve for x
    x = 12,958,989.38/4,538.37
  6. Step 6: Final answer
    x = 2,855.43

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