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Finding the Fourth Proportional to 3,738.96, 5,599.98 and 3,206.52

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Solution

The fourth proportional to 3,738.96, 5,599.98 and 3,206.52 is: 4,802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.96 : 5,599.98 = 3,206.52 : x
  2. Step 2: Convert to fraction form
    3,738.96/5,599.98 = 3,206.52/x
  3. Step 3: Cross multiply
    3,738.96x = 5,599.98 × 3,206.52
  4. Step 4: Simplify right side
    3,738.96x = 17,956,447.87
  5. Step 5: Solve for x
    x = 17,956,447.87/3,738.96
  6. Step 6: Final answer
    x = 4,802.52

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