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Finding the Fourth Proportional to 3,698.87, 5,104.39 and 2,020.34

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Solution

The fourth proportional to 3,698.87, 5,104.39 and 2,020.34 is: 2,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.87 : 5,104.39 = 2,020.34 : x
  2. Step 2: Convert to fraction form
    3,698.87/5,104.39 = 2,020.34/x
  3. Step 3: Cross multiply
    3,698.87x = 5,104.39 × 2,020.34
  4. Step 4: Simplify right side
    3,698.87x = 10,312,603.29
  5. Step 5: Solve for x
    x = 10,312,603.29/3,698.87
  6. Step 6: Final answer
    x = 2,788.05

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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.