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Finding the Fourth Proportional to 6,638.58, 9,161.18 and 3,654.38

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Solution

The fourth proportional to 6,638.58, 9,161.18 and 3,654.38 is: 5,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.58 : 9,161.18 = 3,654.38 : x
  2. Step 2: Convert to fraction form
    6,638.58/9,161.18 = 3,654.38/x
  3. Step 3: Cross multiply
    6,638.58x = 9,161.18 × 3,654.38
  4. Step 4: Simplify right side
    6,638.58x = 33,478,432.97
  5. Step 5: Solve for x
    x = 33,478,432.97/6,638.58
  6. Step 6: Final answer
    x = 5,043.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.