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Finding the Fourth Proportional to 5,227.65, 7,836.66 and 2,264.22

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Solution

The fourth proportional to 5,227.65, 7,836.66 and 2,264.22 is: 3,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.65 : 7,836.66 = 2,264.22 : x
  2. Step 2: Convert to fraction form
    5,227.65/7,836.66 = 2,264.22/x
  3. Step 3: Cross multiply
    5,227.65x = 7,836.66 × 2,264.22
  4. Step 4: Simplify right side
    5,227.65x = 17,743,922.31
  5. Step 5: Solve for x
    x = 17,743,922.31/5,227.65
  6. Step 6: Final answer
    x = 3,394.24

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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.