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Finding the Fourth Proportional to 3,791.90, 5,708.33 and 3,410.45

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Solution

The fourth proportional to 3,791.90, 5,708.33 and 3,410.45 is: 5,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.90 : 5,708.33 = 3,410.45 : x
  2. Step 2: Convert to fraction form
    3,791.90/5,708.33 = 3,410.45/x
  3. Step 3: Cross multiply
    3,791.90x = 5,708.33 × 3,410.45
  4. Step 4: Simplify right side
    3,791.90x = 19,467,974.05
  5. Step 5: Solve for x
    x = 19,467,974.05/3,791.90
  6. Step 6: Final answer
    x = 5,134.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.