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Finding the Fourth Proportional to 6,638.82, 9,161.50 and 3,654.59

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Solution

The fourth proportional to 6,638.82, 9,161.50 and 3,654.59 is: 5,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.82 : 9,161.50 = 3,654.59 : x
  2. Step 2: Convert to fraction form
    6,638.82/9,161.50 = 3,654.59/x
  3. Step 3: Cross multiply
    6,638.82x = 9,161.50 × 3,654.59
  4. Step 4: Simplify right side
    6,638.82x = 33,481,526.29
  5. Step 5: Solve for x
    x = 33,481,526.29/6,638.82
  6. Step 6: Final answer
    x = 5,043.29

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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.