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Finding the Fourth Proportional to 3,805.16, 5,707.80 and 1,464.93

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Solution

The fourth proportional to 3,805.16, 5,707.80 and 1,464.93 is: 2,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.16 : 5,707.80 = 1,464.93 : x
  2. Step 2: Convert to fraction form
    3,805.16/5,707.80 = 1,464.93/x
  3. Step 3: Cross multiply
    3,805.16x = 5,707.80 × 1,464.93
  4. Step 4: Simplify right side
    3,805.16x = 8,361,527.45
  5. Step 5: Solve for x
    x = 8,361,527.45/3,805.16
  6. Step 6: Final answer
    x = 2,197.42

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