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Finding the Fourth Proportional to 3,692.12, 5,538.02 and 1,500.89

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Solution

The fourth proportional to 3,692.12, 5,538.02 and 1,500.89 is: 2,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.12 : 5,538.02 = 1,500.89 : x
  2. Step 2: Convert to fraction form
    3,692.12/5,538.02 = 1,500.89/x
  3. Step 3: Cross multiply
    3,692.12x = 5,538.02 × 1,500.89
  4. Step 4: Simplify right side
    3,692.12x = 8,311,923.64
  5. Step 5: Solve for x
    x = 8,311,923.64/3,692.12
  6. Step 6: Final answer
    x = 2,251.26

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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.