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Finding the Fourth Proportional to 3,692.03, 5,538.47 and 1,500.44

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Solution

The fourth proportional to 3,692.03, 5,538.47 and 1,500.44 is: 2,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.03 : 5,538.47 = 1,500.44 : x
  2. Step 2: Convert to fraction form
    3,692.03/5,538.47 = 1,500.44/x
  3. Step 3: Cross multiply
    3,692.03x = 5,538.47 × 1,500.44
  4. Step 4: Simplify right side
    3,692.03x = 8,310,106.73
  5. Step 5: Solve for x
    x = 8,310,106.73/3,692.03
  6. Step 6: Final answer
    x = 2,250.83

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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.