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Finding the Fourth Proportional to 6,638.50, 9,161.74 and 3,654.94

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Solution

The fourth proportional to 6,638.50, 9,161.74 and 3,654.94 is: 5,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.50 : 9,161.74 = 3,654.94 : x
  2. Step 2: Convert to fraction form
    6,638.50/9,161.74 = 3,654.94/x
  3. Step 3: Cross multiply
    6,638.50x = 9,161.74 × 3,654.94
  4. Step 4: Simplify right side
    6,638.50x = 33,485,610.00
  5. Step 5: Solve for x
    x = 33,485,610.00/6,638.50
  6. Step 6: Final answer
    x = 5,044.15

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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.