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Finding the Fourth Proportional to 3,021.70, 4,234.70 and 3,021.70

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Solution

The fourth proportional to 3,021.70, 4,234.70 and 3,021.70 is: 4,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.70 : 4,234.70 = 3,021.70 : x
  2. Step 2: Convert to fraction form
    3,021.70/4,234.70 = 3,021.70/x
  3. Step 3: Cross multiply
    3,021.70x = 4,234.70 × 3,021.70
  4. Step 4: Simplify right side
    3,021.70x = 12,795,992.99
  5. Step 5: Solve for x
    x = 12,795,992.99/3,021.70
  6. Step 6: Final answer
    x = 4,234.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.