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Finding the Fourth Proportional to 4,675.07, 7,013.82 and 3,843.50

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Solution

The fourth proportional to 4,675.07, 7,013.82 and 3,843.50 is: 5,766.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.07 : 7,013.82 = 3,843.50 : x
  2. Step 2: Convert to fraction form
    4,675.07/7,013.82 = 3,843.50/x
  3. Step 3: Cross multiply
    4,675.07x = 7,013.82 × 3,843.50
  4. Step 4: Simplify right side
    4,675.07x = 26,957,603.54
  5. Step 5: Solve for x
    x = 26,957,603.54/4,675.07
  6. Step 6: Final answer
    x = 5,766.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.