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Finding the Fourth Proportional to 5,109.96, 7,665.66 and 3,159.48

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Solution

The fourth proportional to 5,109.96, 7,665.66 and 3,159.48 is: 4,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.96 : 7,665.66 = 3,159.48 : x
  2. Step 2: Convert to fraction form
    5,109.96/7,665.66 = 3,159.48/x
  3. Step 3: Cross multiply
    5,109.96x = 7,665.66 × 3,159.48
  4. Step 4: Simplify right side
    5,109.96x = 24,219,499.46
  5. Step 5: Solve for x
    x = 24,219,499.46/5,109.96
  6. Step 6: Final answer
    x = 4,739.67

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