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Finding the Fourth Proportional to 4,699.24, 7,049.92 and 1,536.84

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Solution

The fourth proportional to 4,699.24, 7,049.92 and 1,536.84 is: 2,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.24 : 7,049.92 = 1,536.84 : x
  2. Step 2: Convert to fraction form
    4,699.24/7,049.92 = 1,536.84/x
  3. Step 3: Cross multiply
    4,699.24x = 7,049.92 × 1,536.84
  4. Step 4: Simplify right side
    4,699.24x = 10,834,619.45
  5. Step 5: Solve for x
    x = 10,834,619.45/4,699.24
  6. Step 6: Final answer
    x = 2,305.61

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