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Finding the Fourth Proportional to 3,676.44, 5,513.22 and 1,623

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Solution

The fourth proportional to 3,676.44, 5,513.22 and 1,623 is: 2,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.44 : 5,513.22 = 1,623 : x
  2. Step 2: Convert to fraction form
    3,676.44/5,513.22 = 1,623/x
  3. Step 3: Cross multiply
    3,676.44x = 5,513.22 × 1,623
  4. Step 4: Simplify right side
    3,676.44x = 8,947,956.06
  5. Step 5: Solve for x
    x = 8,947,956.06/3,676.44
  6. Step 6: Final answer
    x = 2,433.86

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Why These Related Problems?

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