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Finding the Fourth Proportional to 5,164.67, 7,741.82 and 2,042.97

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Solution

The fourth proportional to 5,164.67, 7,741.82 and 2,042.97 is: 3,062.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.67 : 7,741.82 = 2,042.97 : x
  2. Step 2: Convert to fraction form
    5,164.67/7,741.82 = 2,042.97/x
  3. Step 3: Cross multiply
    5,164.67x = 7,741.82 × 2,042.97
  4. Step 4: Simplify right side
    5,164.67x = 15,816,311.11
  5. Step 5: Solve for x
    x = 15,816,311.11/5,164.67
  6. Step 6: Final answer
    x = 3,062.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.