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Finding the Fourth Proportional to 3,927.42, 5,420.16 and 2,249.37

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Solution

The fourth proportional to 3,927.42, 5,420.16 and 2,249.37 is: 3,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.42 : 5,420.16 = 2,249.37 : x
  2. Step 2: Convert to fraction form
    3,927.42/5,420.16 = 2,249.37/x
  3. Step 3: Cross multiply
    3,927.42x = 5,420.16 × 2,249.37
  4. Step 4: Simplify right side
    3,927.42x = 12,191,945.30
  5. Step 5: Solve for x
    x = 12,191,945.30/3,927.42
  6. Step 6: Final answer
    x = 3,104.31

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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.