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Finding the Fourth Proportional to 4,646.13, 6,965.54 and 3,180.84

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Solution

The fourth proportional to 4,646.13, 6,965.54 and 3,180.84 is: 4,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.13 : 6,965.54 = 3,180.84 : x
  2. Step 2: Convert to fraction form
    4,646.13/6,965.54 = 3,180.84/x
  3. Step 3: Cross multiply
    4,646.13x = 6,965.54 × 3,180.84
  4. Step 4: Simplify right side
    4,646.13x = 22,156,268.25
  5. Step 5: Solve for x
    x = 22,156,268.25/4,646.13
  6. Step 6: Final answer
    x = 4,768.76

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