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Finding the Fourth Proportional to 4,843.49, 7,262.10 and 2,208.29

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Solution

The fourth proportional to 4,843.49, 7,262.10 and 2,208.29 is: 3,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.49 : 7,262.10 = 2,208.29 : x
  2. Step 2: Convert to fraction form
    4,843.49/7,262.10 = 2,208.29/x
  3. Step 3: Cross multiply
    4,843.49x = 7,262.10 × 2,208.29
  4. Step 4: Simplify right side
    4,843.49x = 16,036,786.50
  5. Step 5: Solve for x
    x = 16,036,786.50/4,843.49
  6. Step 6: Final answer
    x = 3,311.00

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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.