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Finding the Fourth Proportional to 5,752.88, 8,629.32 and 2,290.16

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Solution

The fourth proportional to 5,752.88, 8,629.32 and 2,290.16 is: 3,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.88 : 8,629.32 = 2,290.16 : x
  2. Step 2: Convert to fraction form
    5,752.88/8,629.32 = 2,290.16/x
  3. Step 3: Cross multiply
    5,752.88x = 8,629.32 × 2,290.16
  4. Step 4: Simplify right side
    5,752.88x = 19,762,523.49
  5. Step 5: Solve for x
    x = 19,762,523.49/5,752.88
  6. Step 6: Final answer
    x = 3,435.24

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