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Finding the Fourth Proportional to 7,228.26, 9,974.75 and 4,084.38

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Solution

The fourth proportional to 7,228.26, 9,974.75 and 4,084.38 is: 5,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.26 : 9,974.75 = 4,084.38 : x
  2. Step 2: Convert to fraction form
    7,228.26/9,974.75 = 4,084.38/x
  3. Step 3: Cross multiply
    7,228.26x = 9,974.75 × 4,084.38
  4. Step 4: Simplify right side
    7,228.26x = 40,740,648.98
  5. Step 5: Solve for x
    x = 40,740,648.98/7,228.26
  6. Step 6: Final answer
    x = 5,636.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.