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Finding the Fourth Proportional to 3,954, 5,930.98 and 1,613.49

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Solution

The fourth proportional to 3,954, 5,930.98 and 1,613.49 is: 2,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954 : 5,930.98 = 1,613.49 : x
  2. Step 2: Convert to fraction form
    3,954/5,930.98 = 1,613.49/x
  3. Step 3: Cross multiply
    3,954x = 5,930.98 × 1,613.49
  4. Step 4: Simplify right side
    3,954x = 9,569,576.92
  5. Step 5: Solve for x
    x = 9,569,576.92/3,954
  6. Step 6: Final answer
    x = 2,420.23

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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.