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Finding the Fourth Proportional to 4,537.82, 6,809.36 and 1,905.10

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Solution

The fourth proportional to 4,537.82, 6,809.36 and 1,905.10 is: 2,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.82 : 6,809.36 = 1,905.10 : x
  2. Step 2: Convert to fraction form
    4,537.82/6,809.36 = 1,905.10/x
  3. Step 3: Cross multiply
    4,537.82x = 6,809.36 × 1,905.10
  4. Step 4: Simplify right side
    4,537.82x = 12,972,485.19
  5. Step 5: Solve for x
    x = 12,972,485.19/4,537.82
  6. Step 6: Final answer
    x = 2,858.75

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