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Finding the Fourth Proportional to 3,816.98, 5,271.71 and 3,224.48

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Solution

The fourth proportional to 3,816.98, 5,271.71 and 3,224.48 is: 4,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.98 : 5,271.71 = 3,224.48 : x
  2. Step 2: Convert to fraction form
    3,816.98/5,271.71 = 3,224.48/x
  3. Step 3: Cross multiply
    3,816.98x = 5,271.71 × 3,224.48
  4. Step 4: Simplify right side
    3,816.98x = 16,998,523.46
  5. Step 5: Solve for x
    x = 16,998,523.46/3,816.98
  6. Step 6: Final answer
    x = 4,453.40

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Why These Related Problems?

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