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Finding the Fourth Proportional to 3,788.62, 5,673.34 and 3,170.78

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Solution

The fourth proportional to 3,788.62, 5,673.34 and 3,170.78 is: 4,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.62 : 5,673.34 = 3,170.78 : x
  2. Step 2: Convert to fraction form
    3,788.62/5,673.34 = 3,170.78/x
  3. Step 3: Cross multiply
    3,788.62x = 5,673.34 × 3,170.78
  4. Step 4: Simplify right side
    3,788.62x = 17,988,913.01
  5. Step 5: Solve for x
    x = 17,988,913.01/3,788.62
  6. Step 6: Final answer
    x = 4,748.14

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