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Finding the Fourth Proportional to 3,830.72, 5,743.37 and 1,488.78

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Solution

The fourth proportional to 3,830.72, 5,743.37 and 1,488.78 is: 2,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.72 : 5,743.37 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    3,830.72/5,743.37 = 1,488.78/x
  3. Step 3: Cross multiply
    3,830.72x = 5,743.37 × 1,488.78
  4. Step 4: Simplify right side
    3,830.72x = 8,550,618.11
  5. Step 5: Solve for x
    x = 8,550,618.11/3,830.72
  6. Step 6: Final answer
    x = 2,232.12

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