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Finding the Fourth Proportional to 4,768, 7,154.88 and 2,032

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Solution

The fourth proportional to 4,768, 7,154.88 and 2,032 is: 3,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768 : 7,154.88 = 2,032 : x
  2. Step 2: Convert to fraction form
    4,768/7,154.88 = 2,032/x
  3. Step 3: Cross multiply
    4,768x = 7,154.88 × 2,032
  4. Step 4: Simplify right side
    4,768x = 14,538,716.16
  5. Step 5: Solve for x
    x = 14,538,716.16/4,768
  6. Step 6: Final answer
    x = 3,049.23

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