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Finding the Fourth Proportional to 5,305.80, 7,321.50 and 3,067.38

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Solution

The fourth proportional to 5,305.80, 7,321.50 and 3,067.38 is: 4,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.80 : 7,321.50 = 3,067.38 : x
  2. Step 2: Convert to fraction form
    5,305.80/7,321.50 = 3,067.38/x
  3. Step 3: Cross multiply
    5,305.80x = 7,321.50 × 3,067.38
  4. Step 4: Simplify right side
    5,305.80x = 22,457,822.67
  5. Step 5: Solve for x
    x = 22,457,822.67/5,305.80
  6. Step 6: Final answer
    x = 4,232.69

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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.