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Finding the Fourth Proportional to 5,190.38, 7,160.37 and 3,064.47

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Solution

The fourth proportional to 5,190.38, 7,160.37 and 3,064.47 is: 4,227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.38 : 7,160.37 = 3,064.47 : x
  2. Step 2: Convert to fraction form
    5,190.38/7,160.37 = 3,064.47/x
  3. Step 3: Cross multiply
    5,190.38x = 7,160.37 × 3,064.47
  4. Step 4: Simplify right side
    5,190.38x = 21,942,739.05
  5. Step 5: Solve for x
    x = 21,942,739.05/5,190.38
  6. Step 6: Final answer
    x = 4,227.58

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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.