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Finding the Fourth Proportional to 4,902.29, 7,354.25 and 1,782.46

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Solution

The fourth proportional to 4,902.29, 7,354.25 and 1,782.46 is: 2,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.29 : 7,354.25 = 1,782.46 : x
  2. Step 2: Convert to fraction form
    4,902.29/7,354.25 = 1,782.46/x
  3. Step 3: Cross multiply
    4,902.29x = 7,354.25 × 1,782.46
  4. Step 4: Simplify right side
    4,902.29x = 13,108,656.46
  5. Step 5: Solve for x
    x = 13,108,656.46/4,902.29
  6. Step 6: Final answer
    x = 2,673.99

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