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Finding the Fourth Proportional to 3,683.55, 5,525.46 and 1,462.80

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Solution

The fourth proportional to 3,683.55, 5,525.46 and 1,462.80 is: 2,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.55 : 5,525.46 = 1,462.80 : x
  2. Step 2: Convert to fraction form
    3,683.55/5,525.46 = 1,462.80/x
  3. Step 3: Cross multiply
    3,683.55x = 5,525.46 × 1,462.80
  4. Step 4: Simplify right side
    3,683.55x = 8,082,642.89
  5. Step 5: Solve for x
    x = 8,082,642.89/3,683.55
  6. Step 6: Final answer
    x = 2,194.25

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