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Finding the Fourth Proportional to 4,165.64, 6,248.57 and 1,824.44

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Solution

The fourth proportional to 4,165.64, 6,248.57 and 1,824.44 is: 2,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.64 : 6,248.57 = 1,824.44 : x
  2. Step 2: Convert to fraction form
    4,165.64/6,248.57 = 1,824.44/x
  3. Step 3: Cross multiply
    4,165.64x = 6,248.57 × 1,824.44
  4. Step 4: Simplify right side
    4,165.64x = 11,400,109.81
  5. Step 5: Solve for x
    x = 11,400,109.81/4,165.64
  6. Step 6: Final answer
    x = 2,736.70

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