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Finding the Fourth Proportional to 5,351.80, 8,021.49 and 2,230.06

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Solution

The fourth proportional to 5,351.80, 8,021.49 and 2,230.06 is: 3,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.80 : 8,021.49 = 2,230.06 : x
  2. Step 2: Convert to fraction form
    5,351.80/8,021.49 = 2,230.06/x
  3. Step 3: Cross multiply
    5,351.80x = 8,021.49 × 2,230.06
  4. Step 4: Simplify right side
    5,351.80x = 17,888,403.99
  5. Step 5: Solve for x
    x = 17,888,403.99/5,351.80
  6. Step 6: Final answer
    x = 3,342.50

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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.