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Finding the Fourth Proportional to 3,927.96, 5,420.39 and 2,249.28

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Solution

The fourth proportional to 3,927.96, 5,420.39 and 2,249.28 is: 3,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.96 : 5,420.39 = 2,249.28 : x
  2. Step 2: Convert to fraction form
    3,927.96/5,420.39 = 2,249.28/x
  3. Step 3: Cross multiply
    3,927.96x = 5,420.39 × 2,249.28
  4. Step 4: Simplify right side
    3,927.96x = 12,191,963.57
  5. Step 5: Solve for x
    x = 12,191,963.57/3,927.96
  6. Step 6: Final answer
    x = 3,103.89

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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.