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Finding the Fourth Proportional to 5,162.14, 7,742.80 and 1,875.97

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Solution

The fourth proportional to 5,162.14, 7,742.80 and 1,875.97 is: 2,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.14 : 7,742.80 = 1,875.97 : x
  2. Step 2: Convert to fraction form
    5,162.14/7,742.80 = 1,875.97/x
  3. Step 3: Cross multiply
    5,162.14x = 7,742.80 × 1,875.97
  4. Step 4: Simplify right side
    5,162.14x = 14,525,255.83
  5. Step 5: Solve for x
    x = 14,525,255.83/5,162.14
  6. Step 6: Final answer
    x = 2,813.81

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