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Finding the Fourth Proportional to 3,698.52, 5,103.96 and 2,042.52

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Solution

The fourth proportional to 3,698.52, 5,103.96 and 2,042.52 is: 2,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.52 : 5,103.96 = 2,042.52 : x
  2. Step 2: Convert to fraction form
    3,698.52/5,103.96 = 2,042.52/x
  3. Step 3: Cross multiply
    3,698.52x = 5,103.96 × 2,042.52
  4. Step 4: Simplify right side
    3,698.52x = 10,424,940.38
  5. Step 5: Solve for x
    x = 10,424,940.38/3,698.52
  6. Step 6: Final answer
    x = 2,818.68

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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.