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Finding the Fourth Proportional to 3,511.60, 5,266.80 and 1,319.20

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Solution

The fourth proportional to 3,511.60, 5,266.80 and 1,319.20 is: 1,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.60 : 5,266.80 = 1,319.20 : x
  2. Step 2: Convert to fraction form
    3,511.60/5,266.80 = 1,319.20/x
  3. Step 3: Cross multiply
    3,511.60x = 5,266.80 × 1,319.20
  4. Step 4: Simplify right side
    3,511.60x = 6,947,962.56
  5. Step 5: Solve for x
    x = 6,947,962.56/3,511.60
  6. Step 6: Final answer
    x = 1,978.57

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