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Finding the Fourth Proportional to 5,200.92, 7,801.42 and 1,738.12

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Solution

The fourth proportional to 5,200.92, 7,801.42 and 1,738.12 is: 2,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.92 : 7,801.42 = 1,738.12 : x
  2. Step 2: Convert to fraction form
    5,200.92/7,801.42 = 1,738.12/x
  3. Step 3: Cross multiply
    5,200.92x = 7,801.42 × 1,738.12
  4. Step 4: Simplify right side
    5,200.92x = 13,559,804.13
  5. Step 5: Solve for x
    x = 13,559,804.13/5,200.92
  6. Step 6: Final answer
    x = 2,607.19

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