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Finding the Fourth Proportional to 3,692.84, 5,093.50 and 2,199.60

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Solution

The fourth proportional to 3,692.84, 5,093.50 and 2,199.60 is: 3,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.84 : 5,093.50 = 2,199.60 : x
  2. Step 2: Convert to fraction form
    3,692.84/5,093.50 = 2,199.60/x
  3. Step 3: Cross multiply
    3,692.84x = 5,093.50 × 2,199.60
  4. Step 4: Simplify right side
    3,692.84x = 11,203,662.60
  5. Step 5: Solve for x
    x = 11,203,662.60/3,692.84
  6. Step 6: Final answer
    x = 3,033.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.