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Finding the Fourth Proportional to 3,635.69, 5,017.25 and 2,042.34

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Solution

The fourth proportional to 3,635.69, 5,017.25 and 2,042.34 is: 2,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.69 : 5,017.25 = 2,042.34 : x
  2. Step 2: Convert to fraction form
    3,635.69/5,017.25 = 2,042.34/x
  3. Step 3: Cross multiply
    3,635.69x = 5,017.25 × 2,042.34
  4. Step 4: Simplify right side
    3,635.69x = 10,246,930.37
  5. Step 5: Solve for x
    x = 10,246,930.37/3,635.69
  6. Step 6: Final answer
    x = 2,818.43

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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.