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Finding the Fourth Proportional to 5,321.70, 7,982.28 and 2,034.54

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Solution

The fourth proportional to 5,321.70, 7,982.28 and 2,034.54 is: 3,051.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.70 : 7,982.28 = 2,034.54 : x
  2. Step 2: Convert to fraction form
    5,321.70/7,982.28 = 2,034.54/x
  3. Step 3: Cross multiply
    5,321.70x = 7,982.28 × 2,034.54
  4. Step 4: Simplify right side
    5,321.70x = 16,240,267.95
  5. Step 5: Solve for x
    x = 16,240,267.95/5,321.70
  6. Step 6: Final answer
    x = 3,051.71

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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.