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Finding the Fourth Proportional to 3,884.16, 5,826.72 and 1,420.14

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Solution

The fourth proportional to 3,884.16, 5,826.72 and 1,420.14 is: 2,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.16 : 5,826.72 = 1,420.14 : x
  2. Step 2: Convert to fraction form
    3,884.16/5,826.72 = 1,420.14/x
  3. Step 3: Cross multiply
    3,884.16x = 5,826.72 × 1,420.14
  4. Step 4: Simplify right side
    3,884.16x = 8,274,758.14
  5. Step 5: Solve for x
    x = 8,274,758.14/3,884.16
  6. Step 6: Final answer
    x = 2,130.39

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