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Finding the Fourth Proportional to 5,214.58, 7,821.87 and 1,704.95

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Solution

The fourth proportional to 5,214.58, 7,821.87 and 1,704.95 is: 2,557.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.58 : 7,821.87 = 1,704.95 : x
  2. Step 2: Convert to fraction form
    5,214.58/7,821.87 = 1,704.95/x
  3. Step 3: Cross multiply
    5,214.58x = 7,821.87 × 1,704.95
  4. Step 4: Simplify right side
    5,214.58x = 13,335,881.09
  5. Step 5: Solve for x
    x = 13,335,881.09/5,214.58
  6. Step 6: Final answer
    x = 2,557.42

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