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Finding the Fourth Proportional to 3,227.99, 4,842.27 and 1,036.28

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Solution

The fourth proportional to 3,227.99, 4,842.27 and 1,036.28 is: 1,554.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.99 : 4,842.27 = 1,036.28 : x
  2. Step 2: Convert to fraction form
    3,227.99/4,842.27 = 1,036.28/x
  3. Step 3: Cross multiply
    3,227.99x = 4,842.27 × 1,036.28
  4. Step 4: Simplify right side
    3,227.99x = 5,017,947.56
  5. Step 5: Solve for x
    x = 5,017,947.56/3,227.99
  6. Step 6: Final answer
    x = 1,554.51

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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.