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Finding the Fourth Proportional to 5,174.21, 7,762.61 and 1,664.55

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Solution

The fourth proportional to 5,174.21, 7,762.61 and 1,664.55 is: 2,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.21 : 7,762.61 = 1,664.55 : x
  2. Step 2: Convert to fraction form
    5,174.21/7,762.61 = 1,664.55/x
  3. Step 3: Cross multiply
    5,174.21x = 7,762.61 × 1,664.55
  4. Step 4: Simplify right side
    5,174.21x = 12,921,256.64
  5. Step 5: Solve for x
    x = 12,921,256.64/5,174.21
  6. Step 6: Final answer
    x = 2,497.24

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