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Finding the Fourth Proportional to 3,692.37, 5,537.37 and 1,226.53

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Solution

The fourth proportional to 3,692.37, 5,537.37 and 1,226.53 is: 1,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.37 : 5,537.37 = 1,226.53 : x
  2. Step 2: Convert to fraction form
    3,692.37/5,537.37 = 1,226.53/x
  3. Step 3: Cross multiply
    3,692.37x = 5,537.37 × 1,226.53
  4. Step 4: Simplify right side
    3,692.37x = 6,791,751.60
  5. Step 5: Solve for x
    x = 6,791,751.60/3,692.37
  6. Step 6: Final answer
    x = 1,839.40

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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.