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Finding the Fourth Proportional to 7,282.69, 10,922.97 and 3,583.93

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Solution

The fourth proportional to 7,282.69, 10,922.97 and 3,583.93 is: 5,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.69 : 10,922.97 = 3,583.93 : x
  2. Step 2: Convert to fraction form
    7,282.69/10,922.97 = 3,583.93/x
  3. Step 3: Cross multiply
    7,282.69x = 10,922.97 × 3,583.93
  4. Step 4: Simplify right side
    7,282.69x = 39,147,159.87
  5. Step 5: Solve for x
    x = 39,147,159.87/7,282.69
  6. Step 6: Final answer
    x = 5,375.37

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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.