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Finding the Fourth Proportional to 3,692.30, 5,537.57 and 1,059.72

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Solution

The fourth proportional to 3,692.30, 5,537.57 and 1,059.72 is: 1,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.30 : 5,537.57 = 1,059.72 : x
  2. Step 2: Convert to fraction form
    3,692.30/5,537.57 = 1,059.72/x
  3. Step 3: Cross multiply
    3,692.30x = 5,537.57 × 1,059.72
  4. Step 4: Simplify right side
    3,692.30x = 5,868,273.68
  5. Step 5: Solve for x
    x = 5,868,273.68/3,692.30
  6. Step 6: Final answer
    x = 1,589.33

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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.