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Finding the Fourth Proportional to 3,771.96, 5,657.25 and 1,692.03

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Solution

The fourth proportional to 3,771.96, 5,657.25 and 1,692.03 is: 2,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.96 : 5,657.25 = 1,692.03 : x
  2. Step 2: Convert to fraction form
    3,771.96/5,657.25 = 1,692.03/x
  3. Step 3: Cross multiply
    3,771.96x = 5,657.25 × 1,692.03
  4. Step 4: Simplify right side
    3,771.96x = 9,572,236.72
  5. Step 5: Solve for x
    x = 9,572,236.72/3,771.96
  6. Step 6: Final answer
    x = 2,537.74

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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.