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Finding the Fourth Proportional to 3,856.48, 5,784.75 and 1,259.43

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Solution

The fourth proportional to 3,856.48, 5,784.75 and 1,259.43 is: 1,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.48 : 5,784.75 = 1,259.43 : x
  2. Step 2: Convert to fraction form
    3,856.48/5,784.75 = 1,259.43/x
  3. Step 3: Cross multiply
    3,856.48x = 5,784.75 × 1,259.43
  4. Step 4: Simplify right side
    3,856.48x = 7,285,458.77
  5. Step 5: Solve for x
    x = 7,285,458.77/3,856.48
  6. Step 6: Final answer
    x = 1,889.15

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