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Finding the Fourth Proportional to 5,096.22, 7,646.67 and 3,020.34

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Solution

The fourth proportional to 5,096.22, 7,646.67 and 3,020.34 is: 4,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.22 : 7,646.67 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    5,096.22/7,646.67 = 3,020.34/x
  3. Step 3: Cross multiply
    5,096.22x = 7,646.67 × 3,020.34
  4. Step 4: Simplify right side
    5,096.22x = 23,095,543.27
  5. Step 5: Solve for x
    x = 23,095,543.27/5,096.22
  6. Step 6: Final answer
    x = 4,531.90

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