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Finding the Fourth Proportional to 3,763.41, 5,644.80 and 1,166.37

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Solution

The fourth proportional to 3,763.41, 5,644.80 and 1,166.37 is: 1,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.41 : 5,644.80 = 1,166.37 : x
  2. Step 2: Convert to fraction form
    3,763.41/5,644.80 = 1,166.37/x
  3. Step 3: Cross multiply
    3,763.41x = 5,644.80 × 1,166.37
  4. Step 4: Simplify right side
    3,763.41x = 6,583,925.38
  5. Step 5: Solve for x
    x = 6,583,925.38/3,763.41
  6. Step 6: Final answer
    x = 1,749.46

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