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Finding the Fourth Proportional to 3,828.42, 5,744.12 and 1,488.60

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Solution

The fourth proportional to 3,828.42, 5,744.12 and 1,488.60 is: 2,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.42 : 5,744.12 = 1,488.60 : x
  2. Step 2: Convert to fraction form
    3,828.42/5,744.12 = 1,488.60/x
  3. Step 3: Cross multiply
    3,828.42x = 5,744.12 × 1,488.60
  4. Step 4: Simplify right side
    3,828.42x = 8,550,689.59
  5. Step 5: Solve for x
    x = 8,550,689.59/3,828.42
  6. Step 6: Final answer
    x = 2,233.48

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