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Finding the Fourth Proportional to 3,686.78, 5,542.32 and 3,416.24

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Solution

The fourth proportional to 3,686.78, 5,542.32 and 3,416.24 is: 5,135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.78 : 5,542.32 = 3,416.24 : x
  2. Step 2: Convert to fraction form
    3,686.78/5,542.32 = 3,416.24/x
  3. Step 3: Cross multiply
    3,686.78x = 5,542.32 × 3,416.24
  4. Step 4: Simplify right side
    3,686.78x = 18,933,895.28
  5. Step 5: Solve for x
    x = 18,933,895.28/3,686.78
  6. Step 6: Final answer
    x = 5,135.62

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