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Finding the Fourth Proportional to 3,880.56, 5,819.58 and 1,688.64

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Solution

The fourth proportional to 3,880.56, 5,819.58 and 1,688.64 is: 2,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.56 : 5,819.58 = 1,688.64 : x
  2. Step 2: Convert to fraction form
    3,880.56/5,819.58 = 1,688.64/x
  3. Step 3: Cross multiply
    3,880.56x = 5,819.58 × 1,688.64
  4. Step 4: Simplify right side
    3,880.56x = 9,827,175.57
  5. Step 5: Solve for x
    x = 9,827,175.57/3,880.56
  6. Step 6: Final answer
    x = 2,532.41

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