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Finding the Fourth Proportional to 3,485.78, 5,228.91 and 1,405.80

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Solution

The fourth proportional to 3,485.78, 5,228.91 and 1,405.80 is: 2,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.78 : 5,228.91 = 1,405.80 : x
  2. Step 2: Convert to fraction form
    3,485.78/5,228.91 = 1,405.80/x
  3. Step 3: Cross multiply
    3,485.78x = 5,228.91 × 1,405.80
  4. Step 4: Simplify right side
    3,485.78x = 7,350,801.68
  5. Step 5: Solve for x
    x = 7,350,801.68/3,485.78
  6. Step 6: Final answer
    x = 2,108.80

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