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Finding the Fourth Proportional to 5,409.68, 8,114.64 and 1,946.96

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Solution

The fourth proportional to 5,409.68, 8,114.64 and 1,946.96 is: 2,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.68 : 8,114.64 = 1,946.96 : x
  2. Step 2: Convert to fraction form
    5,409.68/8,114.64 = 1,946.96/x
  3. Step 3: Cross multiply
    5,409.68x = 8,114.64 × 1,946.96
  4. Step 4: Simplify right side
    5,409.68x = 15,798,879.49
  5. Step 5: Solve for x
    x = 15,798,879.49/5,409.68
  6. Step 6: Final answer
    x = 2,920.48

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