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Finding the Fourth Proportional to 4,058, 5,601.96 and 3,912.08

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Solution

The fourth proportional to 4,058, 5,601.96 and 3,912.08 is: 5,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058 : 5,601.96 = 3,912.08 : x
  2. Step 2: Convert to fraction form
    4,058/5,601.96 = 3,912.08/x
  3. Step 3: Cross multiply
    4,058x = 5,601.96 × 3,912.08
  4. Step 4: Simplify right side
    4,058x = 21,915,315.68
  5. Step 5: Solve for x
    x = 21,915,315.68/4,058
  6. Step 6: Final answer
    x = 5,400.52

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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.