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Finding the Fourth Proportional to 5,249.37, 7,238.05 and 4,186.30

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Solution

The fourth proportional to 5,249.37, 7,238.05 and 4,186.30 is: 5,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.37 : 7,238.05 = 4,186.30 : x
  2. Step 2: Convert to fraction form
    5,249.37/7,238.05 = 4,186.30/x
  3. Step 3: Cross multiply
    5,249.37x = 7,238.05 × 4,186.30
  4. Step 4: Simplify right side
    5,249.37x = 30,300,648.72
  5. Step 5: Solve for x
    x = 30,300,648.72/5,249.37
  6. Step 6: Final answer
    x = 5,772.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.