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Finding the Fourth Proportional to 4,749.81, 7,124.73 and 1,462.80

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Solution

The fourth proportional to 4,749.81, 7,124.73 and 1,462.80 is: 2,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.81 : 7,124.73 = 1,462.80 : x
  2. Step 2: Convert to fraction form
    4,749.81/7,124.73 = 1,462.80/x
  3. Step 3: Cross multiply
    4,749.81x = 7,124.73 × 1,462.80
  4. Step 4: Simplify right side
    4,749.81x = 10,422,055.04
  5. Step 5: Solve for x
    x = 10,422,055.04/4,749.81
  6. Step 6: Final answer
    x = 2,194.20

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