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Finding the Fourth Proportional to 3,919.59, 5,408.46 and 2,241

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Solution

The fourth proportional to 3,919.59, 5,408.46 and 2,241 is: 3,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.59 : 5,408.46 = 2,241 : x
  2. Step 2: Convert to fraction form
    3,919.59/5,408.46 = 2,241/x
  3. Step 3: Cross multiply
    3,919.59x = 5,408.46 × 2,241
  4. Step 4: Simplify right side
    3,919.59x = 12,120,358.86
  5. Step 5: Solve for x
    x = 12,120,358.86/3,919.59
  6. Step 6: Final answer
    x = 3,092.25

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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.