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Finding the Fourth Proportional to 5,305.57, 7,321.34 and 3,067.08

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Solution

The fourth proportional to 5,305.57, 7,321.34 and 3,067.08 is: 4,232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.57 : 7,321.34 = 3,067.08 : x
  2. Step 2: Convert to fraction form
    5,305.57/7,321.34 = 3,067.08/x
  3. Step 3: Cross multiply
    5,305.57x = 7,321.34 × 3,067.08
  4. Step 4: Simplify right side
    5,305.57x = 22,455,135.49
  5. Step 5: Solve for x
    x = 22,455,135.49/5,305.57
  6. Step 6: Final answer
    x = 4,232.37

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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.