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Finding the Fourth Proportional to 3,654.01, 5,042.16 and 2,161.63

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Solution

The fourth proportional to 3,654.01, 5,042.16 and 2,161.63 is: 2,982.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.01 : 5,042.16 = 2,161.63 : x
  2. Step 2: Convert to fraction form
    3,654.01/5,042.16 = 2,161.63/x
  3. Step 3: Cross multiply
    3,654.01x = 5,042.16 × 2,161.63
  4. Step 4: Simplify right side
    3,654.01x = 10,899,273.51
  5. Step 5: Solve for x
    x = 10,899,273.51/3,654.01
  6. Step 6: Final answer
    x = 2,982.83

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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.