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Finding the Fourth Proportional to 4,667.50, 7,003.26 and 1,745.44

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Solution

The fourth proportional to 4,667.50, 7,003.26 and 1,745.44 is: 2,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.50 : 7,003.26 = 1,745.44 : x
  2. Step 2: Convert to fraction form
    4,667.50/7,003.26 = 1,745.44/x
  3. Step 3: Cross multiply
    4,667.50x = 7,003.26 × 1,745.44
  4. Step 4: Simplify right side
    4,667.50x = 12,223,770.13
  5. Step 5: Solve for x
    x = 12,223,770.13/4,667.50
  6. Step 6: Final answer
    x = 2,618.91

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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.