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Finding the Fourth Proportional to 3,836.74, 5,750.30 and 1,642.89

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Solution

The fourth proportional to 3,836.74, 5,750.30 and 1,642.89 is: 2,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.74 : 5,750.30 = 1,642.89 : x
  2. Step 2: Convert to fraction form
    3,836.74/5,750.30 = 1,642.89/x
  3. Step 3: Cross multiply
    3,836.74x = 5,750.30 × 1,642.89
  4. Step 4: Simplify right side
    3,836.74x = 9,447,110.37
  5. Step 5: Solve for x
    x = 9,447,110.37/3,836.74
  6. Step 6: Final answer
    x = 2,462.28

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