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Finding the Fourth Proportional to 3,784.92, 5,680.14 and 1,937.58

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Solution

The fourth proportional to 3,784.92, 5,680.14 and 1,937.58 is: 2,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.92 : 5,680.14 = 1,937.58 : x
  2. Step 2: Convert to fraction form
    3,784.92/5,680.14 = 1,937.58/x
  3. Step 3: Cross multiply
    3,784.92x = 5,680.14 × 1,937.58
  4. Step 4: Simplify right side
    3,784.92x = 11,005,725.66
  5. Step 5: Solve for x
    x = 11,005,725.66/3,784.92
  6. Step 6: Final answer
    x = 2,907.78

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