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Finding the Fourth Proportional to 3,608.93, 5,409.75 and 1,416.80

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Solution

The fourth proportional to 3,608.93, 5,409.75 and 1,416.80 is: 2,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.93 : 5,409.75 = 1,416.80 : x
  2. Step 2: Convert to fraction form
    3,608.93/5,409.75 = 1,416.80/x
  3. Step 3: Cross multiply
    3,608.93x = 5,409.75 × 1,416.80
  4. Step 4: Simplify right side
    3,608.93x = 7,664,533.80
  5. Step 5: Solve for x
    x = 7,664,533.80/3,608.93
  6. Step 6: Final answer
    x = 2,123.77

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