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Finding the Fourth Proportional to 4,656.80, 6,983.70 and 1,536.22

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Solution

The fourth proportional to 4,656.80, 6,983.70 and 1,536.22 is: 2,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.80 : 6,983.70 = 1,536.22 : x
  2. Step 2: Convert to fraction form
    4,656.80/6,983.70 = 1,536.22/x
  3. Step 3: Cross multiply
    4,656.80x = 6,983.70 × 1,536.22
  4. Step 4: Simplify right side
    4,656.80x = 10,728,482.15
  5. Step 5: Solve for x
    x = 10,728,482.15/4,656.80
  6. Step 6: Final answer
    x = 2,303.83

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