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Finding the Fourth Proportional to 3,729.44, 5,144.03 and 3,166.03

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Solution

The fourth proportional to 3,729.44, 5,144.03 and 3,166.03 is: 4,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.44 : 5,144.03 = 3,166.03 : x
  2. Step 2: Convert to fraction form
    3,729.44/5,144.03 = 3,166.03/x
  3. Step 3: Cross multiply
    3,729.44x = 5,144.03 × 3,166.03
  4. Step 4: Simplify right side
    3,729.44x = 16,286,111.75
  5. Step 5: Solve for x
    x = 16,286,111.75/3,729.44
  6. Step 6: Final answer
    x = 4,366.91

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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.