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Finding the Fourth Proportional to 3,420.02, 5,128.74 and 1,665.80

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Solution

The fourth proportional to 3,420.02, 5,128.74 and 1,665.80 is: 2,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.02 : 5,128.74 = 1,665.80 : x
  2. Step 2: Convert to fraction form
    3,420.02/5,128.74 = 1,665.80/x
  3. Step 3: Cross multiply
    3,420.02x = 5,128.74 × 1,665.80
  4. Step 4: Simplify right side
    3,420.02x = 8,543,455.09
  5. Step 5: Solve for x
    x = 8,543,455.09/3,420.02
  6. Step 6: Final answer
    x = 2,498.07

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