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Finding the Fourth Proportional to 5,632.72, 8,431 and 2,996.56

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Solution

The fourth proportional to 5,632.72, 8,431 and 2,996.56 is: 4,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.72 : 8,431 = 2,996.56 : x
  2. Step 2: Convert to fraction form
    5,632.72/8,431 = 2,996.56/x
  3. Step 3: Cross multiply
    5,632.72x = 8,431 × 2,996.56
  4. Step 4: Simplify right side
    5,632.72x = 25,263,997.36
  5. Step 5: Solve for x
    x = 25,263,997.36/5,632.72
  6. Step 6: Final answer
    x = 4,485.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.