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Finding the Fourth Proportional to 3,711.56, 5,563.72 and 1,632.72

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Solution

The fourth proportional to 3,711.56, 5,563.72 and 1,632.72 is: 2,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.56 : 5,563.72 = 1,632.72 : x
  2. Step 2: Convert to fraction form
    3,711.56/5,563.72 = 1,632.72/x
  3. Step 3: Cross multiply
    3,711.56x = 5,563.72 × 1,632.72
  4. Step 4: Simplify right side
    3,711.56x = 9,083,996.92
  5. Step 5: Solve for x
    x = 9,083,996.92/3,711.56
  6. Step 6: Final answer
    x = 2,447.49

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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.