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Finding the Fourth Proportional to 5,204.51, 7,804.81 and 1,693.60

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Solution

The fourth proportional to 5,204.51, 7,804.81 and 1,693.60 is: 2,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.51 : 7,804.81 = 1,693.60 : x
  2. Step 2: Convert to fraction form
    5,204.51/7,804.81 = 1,693.60/x
  3. Step 3: Cross multiply
    5,204.51x = 7,804.81 × 1,693.60
  4. Step 4: Simplify right side
    5,204.51x = 13,218,178.72
  5. Step 5: Solve for x
    x = 13,218,178.72/5,204.51
  6. Step 6: Final answer
    x = 2,539.75

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