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Finding the Fourth Proportional to 3,856.40, 5,784.84 and 1,259.36

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Solution

The fourth proportional to 3,856.40, 5,784.84 and 1,259.36 is: 1,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.40 : 5,784.84 = 1,259.36 : x
  2. Step 2: Convert to fraction form
    3,856.40/5,784.84 = 1,259.36/x
  3. Step 3: Cross multiply
    3,856.40x = 5,784.84 × 1,259.36
  4. Step 4: Simplify right side
    3,856.40x = 7,285,196.10
  5. Step 5: Solve for x
    x = 7,285,196.10/3,856.40
  6. Step 6: Final answer
    x = 1,889.12

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