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Finding the Fourth Proportional to 3,788.40, 5,667.75 and 2,492.40

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Solution

The fourth proportional to 3,788.40, 5,667.75 and 2,492.40 is: 3,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.40 : 5,667.75 = 2,492.40 : x
  2. Step 2: Convert to fraction form
    3,788.40/5,667.75 = 2,492.40/x
  3. Step 3: Cross multiply
    3,788.40x = 5,667.75 × 2,492.40
  4. Step 4: Simplify right side
    3,788.40x = 14,126,300.10
  5. Step 5: Solve for x
    x = 14,126,300.10/3,788.40
  6. Step 6: Final answer
    x = 3,728.83

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