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Finding the Fourth Proportional to 5,845.34, 8,067.12 and 4,836.90

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Solution

The fourth proportional to 5,845.34, 8,067.12 and 4,836.90 is: 6,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.34 : 8,067.12 = 4,836.90 : x
  2. Step 2: Convert to fraction form
    5,845.34/8,067.12 = 4,836.90/x
  3. Step 3: Cross multiply
    5,845.34x = 8,067.12 × 4,836.90
  4. Step 4: Simplify right side
    5,845.34x = 39,019,852.73
  5. Step 5: Solve for x
    x = 39,019,852.73/5,845.34
  6. Step 6: Final answer
    x = 6,675.38

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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.