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Finding the Fourth Proportional to 3,643.22, 5,464.85 and 1,046.16

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Solution

The fourth proportional to 3,643.22, 5,464.85 and 1,046.16 is: 1,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.22 : 5,464.85 = 1,046.16 : x
  2. Step 2: Convert to fraction form
    3,643.22/5,464.85 = 1,046.16/x
  3. Step 3: Cross multiply
    3,643.22x = 5,464.85 × 1,046.16
  4. Step 4: Simplify right side
    3,643.22x = 5,717,102.25
  5. Step 5: Solve for x
    x = 5,717,102.25/3,643.22
  6. Step 6: Final answer
    x = 1,569.25

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