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Finding the Fourth Proportional to 3,775.56, 5,659.26 and 1,692.69

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Solution

The fourth proportional to 3,775.56, 5,659.26 and 1,692.69 is: 2,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.56 : 5,659.26 = 1,692.69 : x
  2. Step 2: Convert to fraction form
    3,775.56/5,659.26 = 1,692.69/x
  3. Step 3: Cross multiply
    3,775.56x = 5,659.26 × 1,692.69
  4. Step 4: Simplify right side
    3,775.56x = 9,579,372.81
  5. Step 5: Solve for x
    x = 9,579,372.81/3,775.56
  6. Step 6: Final answer
    x = 2,537.21

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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.