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Finding the Fourth Proportional to 5,342.37, 7,372.38 and 3,219.09

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Solution

The fourth proportional to 5,342.37, 7,372.38 and 3,219.09 is: 4,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.37 : 7,372.38 = 3,219.09 : x
  2. Step 2: Convert to fraction form
    5,342.37/7,372.38 = 3,219.09/x
  3. Step 3: Cross multiply
    5,342.37x = 7,372.38 × 3,219.09
  4. Step 4: Simplify right side
    5,342.37x = 23,732,354.73
  5. Step 5: Solve for x
    x = 23,732,354.73/5,342.37
  6. Step 6: Final answer
    x = 4,442.29

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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.