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Finding the Fourth Proportional to 3,830.56, 5,743.52 and 1,880.32

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Solution

The fourth proportional to 3,830.56, 5,743.52 and 1,880.32 is: 2,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.56 : 5,743.52 = 1,880.32 : x
  2. Step 2: Convert to fraction form
    3,830.56/5,743.52 = 1,880.32/x
  3. Step 3: Cross multiply
    3,830.56x = 5,743.52 × 1,880.32
  4. Step 4: Simplify right side
    3,830.56x = 10,799,655.53
  5. Step 5: Solve for x
    x = 10,799,655.53/3,830.56
  6. Step 6: Final answer
    x = 2,819.34

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