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Finding the Fourth Proportional to 3,668.38, 5,062.38 and 2,097.38

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Solution

The fourth proportional to 3,668.38, 5,062.38 and 2,097.38 is: 2,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.38 : 5,062.38 = 2,097.38 : x
  2. Step 2: Convert to fraction form
    3,668.38/5,062.38 = 2,097.38/x
  3. Step 3: Cross multiply
    3,668.38x = 5,062.38 × 2,097.38
  4. Step 4: Simplify right side
    3,668.38x = 10,617,734.56
  5. Step 5: Solve for x
    x = 10,617,734.56/3,668.38
  6. Step 6: Final answer
    x = 2,894.39

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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.