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Finding the Fourth Proportional to 5,090.78, 7,640.08 and 2,280.48

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Solution

The fourth proportional to 5,090.78, 7,640.08 and 2,280.48 is: 3,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.78 : 7,640.08 = 2,280.48 : x
  2. Step 2: Convert to fraction form
    5,090.78/7,640.08 = 2,280.48/x
  3. Step 3: Cross multiply
    5,090.78x = 7,640.08 × 2,280.48
  4. Step 4: Simplify right side
    5,090.78x = 17,423,049.64
  5. Step 5: Solve for x
    x = 17,423,049.64/5,090.78
  6. Step 6: Final answer
    x = 3,422.47

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