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Finding the Fourth Proportional to 3,934.84, 5,902.64 and 1,985.80

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Solution

The fourth proportional to 3,934.84, 5,902.64 and 1,985.80 is: 2,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.84 : 5,902.64 = 1,985.80 : x
  2. Step 2: Convert to fraction form
    3,934.84/5,902.64 = 1,985.80/x
  3. Step 3: Cross multiply
    3,934.84x = 5,902.64 × 1,985.80
  4. Step 4: Simplify right side
    3,934.84x = 11,721,462.51
  5. Step 5: Solve for x
    x = 11,721,462.51/3,934.84
  6. Step 6: Final answer
    x = 2,978.89

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