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Finding the Fourth Proportional to 5,109.87, 7,663.19 and 1,646.31

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Solution

The fourth proportional to 5,109.87, 7,663.19 and 1,646.31 is: 2,468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.87 : 7,663.19 = 1,646.31 : x
  2. Step 2: Convert to fraction form
    5,109.87/7,663.19 = 1,646.31/x
  3. Step 3: Cross multiply
    5,109.87x = 7,663.19 × 1,646.31
  4. Step 4: Simplify right side
    5,109.87x = 12,615,986.33
  5. Step 5: Solve for x
    x = 12,615,986.33/5,109.87
  6. Step 6: Final answer
    x = 2,468.94

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