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Finding the Fourth Proportional to 5,692.50, 7,855.65 and 3,208.50

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Solution

The fourth proportional to 5,692.50, 7,855.65 and 3,208.50 is: 4,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.50 : 7,855.65 = 3,208.50 : x
  2. Step 2: Convert to fraction form
    5,692.50/7,855.65 = 3,208.50/x
  3. Step 3: Cross multiply
    5,692.50x = 7,855.65 × 3,208.50
  4. Step 4: Simplify right side
    5,692.50x = 25,204,853.03
  5. Step 5: Solve for x
    x = 25,204,853.03/5,692.50
  6. Step 6: Final answer
    x = 4,427.73

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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.