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Finding the Fourth Proportional to 3,833.39, 5,290.42 and 2,155.20

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Solution

The fourth proportional to 3,833.39, 5,290.42 and 2,155.20 is: 2,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.39 : 5,290.42 = 2,155.20 : x
  2. Step 2: Convert to fraction form
    3,833.39/5,290.42 = 2,155.20/x
  3. Step 3: Cross multiply
    3,833.39x = 5,290.42 × 2,155.20
  4. Step 4: Simplify right side
    3,833.39x = 11,401,907.80
  5. Step 5: Solve for x
    x = 11,401,907.80/3,833.39
  6. Step 6: Final answer
    x = 2,974.37

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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.