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Finding the Fourth Proportional to 3,830.51, 5,746.38 and 1,639.25

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Solution

The fourth proportional to 3,830.51, 5,746.38 and 1,639.25 is: 2,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.51 : 5,746.38 = 1,639.25 : x
  2. Step 2: Convert to fraction form
    3,830.51/5,746.38 = 1,639.25/x
  3. Step 3: Cross multiply
    3,830.51x = 5,746.38 × 1,639.25
  4. Step 4: Simplify right side
    3,830.51x = 9,419,753.42
  5. Step 5: Solve for x
    x = 9,419,753.42/3,830.51
  6. Step 6: Final answer
    x = 2,459.14

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