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Finding the Fourth Proportional to 6,638.68, 9,161.44 and 3,654.58

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Solution

The fourth proportional to 6,638.68, 9,161.44 and 3,654.58 is: 5,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.68 : 9,161.44 = 3,654.58 : x
  2. Step 2: Convert to fraction form
    6,638.68/9,161.44 = 3,654.58/x
  3. Step 3: Cross multiply
    6,638.68x = 9,161.44 × 3,654.58
  4. Step 4: Simplify right side
    6,638.68x = 33,481,215.40
  5. Step 5: Solve for x
    x = 33,481,215.40/6,638.68
  6. Step 6: Final answer
    x = 5,043.35

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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.