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Finding the Fourth Proportional to 3,796.47, 5,692.68 and 1,946.84

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Solution

The fourth proportional to 3,796.47, 5,692.68 and 1,946.84 is: 2,919.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.47 : 5,692.68 = 1,946.84 : x
  2. Step 2: Convert to fraction form
    3,796.47/5,692.68 = 1,946.84/x
  3. Step 3: Cross multiply
    3,796.47x = 5,692.68 × 1,946.84
  4. Step 4: Simplify right side
    3,796.47x = 11,082,708.67
  5. Step 5: Solve for x
    x = 11,082,708.67/3,796.47
  6. Step 6: Final answer
    x = 2,919.21

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1.5x scale

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.