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Finding the Fourth Proportional to 3,692.91, 5,540.42 and 1,503.21

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Solution

The fourth proportional to 3,692.91, 5,540.42 and 1,503.21 is: 2,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.91 : 5,540.42 = 1,503.21 : x
  2. Step 2: Convert to fraction form
    3,692.91/5,540.42 = 1,503.21/x
  3. Step 3: Cross multiply
    3,692.91x = 5,540.42 × 1,503.21
  4. Step 4: Simplify right side
    3,692.91x = 8,328,421.08
  5. Step 5: Solve for x
    x = 8,328,421.08/3,692.91
  6. Step 6: Final answer
    x = 2,255.24

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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.