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Finding the Fourth Proportional to 3,854.14, 5,784.45 and 1,664.53

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Solution

The fourth proportional to 3,854.14, 5,784.45 and 1,664.53 is: 2,498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.14 : 5,784.45 = 1,664.53 : x
  2. Step 2: Convert to fraction form
    3,854.14/5,784.45 = 1,664.53/x
  3. Step 3: Cross multiply
    3,854.14x = 5,784.45 × 1,664.53
  4. Step 4: Simplify right side
    3,854.14x = 9,628,390.56
  5. Step 5: Solve for x
    x = 9,628,390.56/3,854.14
  6. Step 6: Final answer
    x = 2,498.19

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