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Finding the Fourth Proportional to 4,694.58, 7,040.64 and 1,406.79

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Solution

The fourth proportional to 4,694.58, 7,040.64 and 1,406.79 is: 2,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.58 : 7,040.64 = 1,406.79 : x
  2. Step 2: Convert to fraction form
    4,694.58/7,040.64 = 1,406.79/x
  3. Step 3: Cross multiply
    4,694.58x = 7,040.64 × 1,406.79
  4. Step 4: Simplify right side
    4,694.58x = 9,904,701.95
  5. Step 5: Solve for x
    x = 9,904,701.95/4,694.58
  6. Step 6: Final answer
    x = 2,109.82

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