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Finding the Fourth Proportional to 3,905.58, 5,857.74 and 1,827.02

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Solution

The fourth proportional to 3,905.58, 5,857.74 and 1,827.02 is: 2,740.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.58 : 5,857.74 = 1,827.02 : x
  2. Step 2: Convert to fraction form
    3,905.58/5,857.74 = 1,827.02/x
  3. Step 3: Cross multiply
    3,905.58x = 5,857.74 × 1,827.02
  4. Step 4: Simplify right side
    3,905.58x = 10,702,208.13
  5. Step 5: Solve for x
    x = 10,702,208.13/3,905.58
  6. Step 6: Final answer
    x = 2,740.24

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