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Finding the Fourth Proportional to 3,654.72, 5,042.66 and 2,162.90

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Solution

The fourth proportional to 3,654.72, 5,042.66 and 2,162.90 is: 2,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.72 : 5,042.66 = 2,162.90 : x
  2. Step 2: Convert to fraction form
    3,654.72/5,042.66 = 2,162.90/x
  3. Step 3: Cross multiply
    3,654.72x = 5,042.66 × 2,162.90
  4. Step 4: Simplify right side
    3,654.72x = 10,906,771.11
  5. Step 5: Solve for x
    x = 10,906,771.11/3,654.72
  6. Step 6: Final answer
    x = 2,984.30

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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.