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Finding the Fourth Proportional to 3,692.49, 5,536.65 and 1,225.99

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Solution

The fourth proportional to 3,692.49, 5,536.65 and 1,225.99 is: 1,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.49 : 5,536.65 = 1,225.99 : x
  2. Step 2: Convert to fraction form
    3,692.49/5,536.65 = 1,225.99/x
  3. Step 3: Cross multiply
    3,692.49x = 5,536.65 × 1,225.99
  4. Step 4: Simplify right side
    3,692.49x = 6,787,857.91
  5. Step 5: Solve for x
    x = 6,787,857.91/3,692.49
  6. Step 6: Final answer
    x = 1,838.29

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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.