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Finding the Fourth Proportional to 3,692.26, 5,538.03 and 1,383.94

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Solution

The fourth proportional to 3,692.26, 5,538.03 and 1,383.94 is: 2,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.26 : 5,538.03 = 1,383.94 : x
  2. Step 2: Convert to fraction form
    3,692.26/5,538.03 = 1,383.94/x
  3. Step 3: Cross multiply
    3,692.26x = 5,538.03 × 1,383.94
  4. Step 4: Simplify right side
    3,692.26x = 7,664,301.24
  5. Step 5: Solve for x
    x = 7,664,301.24/3,692.26
  6. Step 6: Final answer
    x = 2,075.78

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