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Finding the Fourth Proportional to 3,692.15, 5,538.19 and 1,352.31

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Solution

The fourth proportional to 3,692.15, 5,538.19 and 1,352.31 is: 2,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.15 : 5,538.19 = 1,352.31 : x
  2. Step 2: Convert to fraction form
    3,692.15/5,538.19 = 1,352.31/x
  3. Step 3: Cross multiply
    3,692.15x = 5,538.19 × 1,352.31
  4. Step 4: Simplify right side
    3,692.15x = 7,489,349.72
  5. Step 5: Solve for x
    x = 7,489,349.72/3,692.15
  6. Step 6: Final answer
    x = 2,028.45

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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.