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Finding the Fourth Proportional to 3,441.89, 4,747.18 and 2,381.42

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Solution

The fourth proportional to 3,441.89, 4,747.18 and 2,381.42 is: 3,284.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.89 : 4,747.18 = 2,381.42 : x
  2. Step 2: Convert to fraction form
    3,441.89/4,747.18 = 2,381.42/x
  3. Step 3: Cross multiply
    3,441.89x = 4,747.18 × 2,381.42
  4. Step 4: Simplify right side
    3,441.89x = 11,305,029.40
  5. Step 5: Solve for x
    x = 11,305,029.40/3,441.89
  6. Step 6: Final answer
    x = 3,284.54

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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.