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Finding the Fourth Proportional to 3,692.34, 5,536.42 and 1,226.50

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Solution

The fourth proportional to 3,692.34, 5,536.42 and 1,226.50 is: 1,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.34 : 5,536.42 = 1,226.50 : x
  2. Step 2: Convert to fraction form
    3,692.34/5,536.42 = 1,226.50/x
  3. Step 3: Cross multiply
    3,692.34x = 5,536.42 × 1,226.50
  4. Step 4: Simplify right side
    3,692.34x = 6,790,402.22
  5. Step 5: Solve for x
    x = 6,790,402.22/3,692.34
  6. Step 6: Final answer
    x = 1,839.05

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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.