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Finding the Fourth Proportional to 3,692.16, 5,538.22 and 1,500.37

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Solution

The fourth proportional to 3,692.16, 5,538.22 and 1,500.37 is: 2,250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.16 : 5,538.22 = 1,500.37 : x
  2. Step 2: Convert to fraction form
    3,692.16/5,538.22 = 1,500.37/x
  3. Step 3: Cross multiply
    3,692.16x = 5,538.22 × 1,500.37
  4. Step 4: Simplify right side
    3,692.16x = 8,309,379.14
  5. Step 5: Solve for x
    x = 8,309,379.14/3,692.16
  6. Step 6: Final answer
    x = 2,250.55

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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.