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Finding the Fourth Proportional to 3,856.83, 5,784.24 and 1,516.92

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Solution

The fourth proportional to 3,856.83, 5,784.24 and 1,516.92 is: 2,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.83 : 5,784.24 = 1,516.92 : x
  2. Step 2: Convert to fraction form
    3,856.83/5,784.24 = 1,516.92/x
  3. Step 3: Cross multiply
    3,856.83x = 5,784.24 × 1,516.92
  4. Step 4: Simplify right side
    3,856.83x = 8,774,229.34
  5. Step 5: Solve for x
    x = 8,774,229.34/3,856.83
  6. Step 6: Final answer
    x = 2,274.98

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