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Finding the Fourth Proportional to 5,632.27, 7,769.42 and 3,274.15

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Solution

The fourth proportional to 5,632.27, 7,769.42 and 3,274.15 is: 4,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.27 : 7,769.42 = 3,274.15 : x
  2. Step 2: Convert to fraction form
    5,632.27/7,769.42 = 3,274.15/x
  3. Step 3: Cross multiply
    5,632.27x = 7,769.42 × 3,274.15
  4. Step 4: Simplify right side
    5,632.27x = 25,438,230.12
  5. Step 5: Solve for x
    x = 25,438,230.12/5,632.27
  6. Step 6: Final answer
    x = 4,516.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.