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Finding the Fourth Proportional to 4,649.56, 6,976.60 and 2,309.80

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Solution

The fourth proportional to 4,649.56, 6,976.60 and 2,309.80 is: 3,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.56 : 6,976.60 = 2,309.80 : x
  2. Step 2: Convert to fraction form
    4,649.56/6,976.60 = 2,309.80/x
  3. Step 3: Cross multiply
    4,649.56x = 6,976.60 × 2,309.80
  4. Step 4: Simplify right side
    4,649.56x = 16,114,550.68
  5. Step 5: Solve for x
    x = 16,114,550.68/4,649.56
  6. Step 6: Final answer
    x = 3,465.82

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