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Finding the Fourth Proportional to 3,922.83, 5,883.64 and 1,457.19

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Solution

The fourth proportional to 3,922.83, 5,883.64 and 1,457.19 is: 2,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.83 : 5,883.64 = 1,457.19 : x
  2. Step 2: Convert to fraction form
    3,922.83/5,883.64 = 1,457.19/x
  3. Step 3: Cross multiply
    3,922.83x = 5,883.64 × 1,457.19
  4. Step 4: Simplify right side
    3,922.83x = 8,573,577.73
  5. Step 5: Solve for x
    x = 8,573,577.73/3,922.83
  6. Step 6: Final answer
    x = 2,185.56

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