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Finding the Fourth Proportional to 5,209.38, 7,814.34 and 1,746.36

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Solution

The fourth proportional to 5,209.38, 7,814.34 and 1,746.36 is: 2,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.38 : 7,814.34 = 1,746.36 : x
  2. Step 2: Convert to fraction form
    5,209.38/7,814.34 = 1,746.36/x
  3. Step 3: Cross multiply
    5,209.38x = 7,814.34 × 1,746.36
  4. Step 4: Simplify right side
    5,209.38x = 13,646,650.80
  5. Step 5: Solve for x
    x = 13,646,650.80/5,209.38
  6. Step 6: Final answer
    x = 2,619.63

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