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Finding the Fourth Proportional to 3,985.74, 5,498.42 and 3,385.80

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Solution

The fourth proportional to 3,985.74, 5,498.42 and 3,385.80 is: 4,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.74 : 5,498.42 = 3,385.80 : x
  2. Step 2: Convert to fraction form
    3,985.74/5,498.42 = 3,385.80/x
  3. Step 3: Cross multiply
    3,985.74x = 5,498.42 × 3,385.80
  4. Step 4: Simplify right side
    3,985.74x = 18,616,533.51
  5. Step 5: Solve for x
    x = 18,616,533.51/3,985.74
  6. Step 6: Final answer
    x = 4,670.78

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