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Finding the Fourth Proportional to 3,510.38, 4,843.76 and 2,094

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Solution

The fourth proportional to 3,510.38, 4,843.76 and 2,094 is: 2,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.38 : 4,843.76 = 2,094 : x
  2. Step 2: Convert to fraction form
    3,510.38/4,843.76 = 2,094/x
  3. Step 3: Cross multiply
    3,510.38x = 4,843.76 × 2,094
  4. Step 4: Simplify right side
    3,510.38x = 10,142,833.44
  5. Step 5: Solve for x
    x = 10,142,833.44/3,510.38
  6. Step 6: Final answer
    x = 2,889.38

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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.