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Finding the Fourth Proportional to 3,522.24, 4,860.82 and 1,950.22

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Solution

The fourth proportional to 3,522.24, 4,860.82 and 1,950.22 is: 2,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.24 : 4,860.82 = 1,950.22 : x
  2. Step 2: Convert to fraction form
    3,522.24/4,860.82 = 1,950.22/x
  3. Step 3: Cross multiply
    3,522.24x = 4,860.82 × 1,950.22
  4. Step 4: Simplify right side
    3,522.24x = 9,479,668.38
  5. Step 5: Solve for x
    x = 9,479,668.38/3,522.24
  6. Step 6: Final answer
    x = 2,691.37

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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.