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Finding the Fourth Proportional to 3,654.16, 5,042.43 and 2,161.81

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Solution

The fourth proportional to 3,654.16, 5,042.43 and 2,161.81 is: 2,983.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.16 : 5,042.43 = 2,161.81 : x
  2. Step 2: Convert to fraction form
    3,654.16/5,042.43 = 2,161.81/x
  3. Step 3: Cross multiply
    3,654.16x = 5,042.43 × 2,161.81
  4. Step 4: Simplify right side
    3,654.16x = 10,900,790.00
  5. Step 5: Solve for x
    x = 10,900,790.00/3,654.16
  6. Step 6: Final answer
    x = 2,983.12

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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.