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Finding the Fourth Proportional to 3,540.45, 5,302.95 and 3,231.03

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Solution

The fourth proportional to 3,540.45, 5,302.95 and 3,231.03 is: 4,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.45 : 5,302.95 = 3,231.03 : x
  2. Step 2: Convert to fraction form
    3,540.45/5,302.95 = 3,231.03/x
  3. Step 3: Cross multiply
    3,540.45x = 5,302.95 × 3,231.03
  4. Step 4: Simplify right side
    3,540.45x = 17,133,990.54
  5. Step 5: Solve for x
    x = 17,133,990.54/3,540.45
  6. Step 6: Final answer
    x = 4,839.50

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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.