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Finding the Fourth Proportional to 3,982.45, 5,972.89 and 3,784.88

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Solution

The fourth proportional to 3,982.45, 5,972.89 and 3,784.88 is: 5,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.45 : 5,972.89 = 3,784.88 : x
  2. Step 2: Convert to fraction form
    3,982.45/5,972.89 = 3,784.88/x
  3. Step 3: Cross multiply
    3,982.45x = 5,972.89 × 3,784.88
  4. Step 4: Simplify right side
    3,982.45x = 22,606,671.90
  5. Step 5: Solve for x
    x = 22,606,671.90/3,982.45
  6. Step 6: Final answer
    x = 5,676.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.