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Finding the Fourth Proportional to 3,200.14, 4,799.86 and 1,007.67

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Solution

The fourth proportional to 3,200.14, 4,799.86 and 1,007.67 is: 1,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.14 : 4,799.86 = 1,007.67 : x
  2. Step 2: Convert to fraction form
    3,200.14/4,799.86 = 1,007.67/x
  3. Step 3: Cross multiply
    3,200.14x = 4,799.86 × 1,007.67
  4. Step 4: Simplify right side
    3,200.14x = 4,836,672.41
  5. Step 5: Solve for x
    x = 4,836,672.41/3,200.14
  6. Step 6: Final answer
    x = 1,511.40

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