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Finding the Fourth Proportional to 3,832.22, 5,748.71 and 1,492.40

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Solution

The fourth proportional to 3,832.22, 5,748.71 and 1,492.40 is: 2,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.22 : 5,748.71 = 1,492.40 : x
  2. Step 2: Convert to fraction form
    3,832.22/5,748.71 = 1,492.40/x
  3. Step 3: Cross multiply
    3,832.22x = 5,748.71 × 1,492.40
  4. Step 4: Simplify right side
    3,832.22x = 8,579,374.80
  5. Step 5: Solve for x
    x = 8,579,374.80/3,832.22
  6. Step 6: Final answer
    x = 2,238.75

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