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Finding the Fourth Proportional to 4,492.22, 6,738.39 and 1,205.78

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Solution

The fourth proportional to 4,492.22, 6,738.39 and 1,205.78 is: 1,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.22 : 6,738.39 = 1,205.78 : x
  2. Step 2: Convert to fraction form
    4,492.22/6,738.39 = 1,205.78/x
  3. Step 3: Cross multiply
    4,492.22x = 6,738.39 × 1,205.78
  4. Step 4: Simplify right side
    4,492.22x = 8,124,982.20
  5. Step 5: Solve for x
    x = 8,124,982.20/4,492.22
  6. Step 6: Final answer
    x = 1,808.68

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