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Finding the Fourth Proportional to 5,114.58, 7,666.70 and 1,992.64

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Solution

The fourth proportional to 5,114.58, 7,666.70 and 1,992.64 is: 2,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.58 : 7,666.70 = 1,992.64 : x
  2. Step 2: Convert to fraction form
    5,114.58/7,666.70 = 1,992.64/x
  3. Step 3: Cross multiply
    5,114.58x = 7,666.70 × 1,992.64
  4. Step 4: Simplify right side
    5,114.58x = 15,276,973.09
  5. Step 5: Solve for x
    x = 15,276,973.09/5,114.58
  6. Step 6: Final answer
    x = 2,986.95

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