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Finding the Fourth Proportional to 5,970, 8,954.98 and 3,372.92

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Solution

The fourth proportional to 5,970, 8,954.98 and 3,372.92 is: 5,059.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 8,954.98 = 3,372.92 : x
  2. Step 2: Convert to fraction form
    5,970/8,954.98 = 3,372.92/x
  3. Step 3: Cross multiply
    5,970x = 8,954.98 × 3,372.92
  4. Step 4: Simplify right side
    5,970x = 30,204,431.14
  5. Step 5: Solve for x
    x = 30,204,431.14/5,970
  6. Step 6: Final answer
    x = 5,059.37

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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.