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Finding the Fourth Proportional to 3,796.14, 5,692.40 and 1,947.90

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Solution

The fourth proportional to 3,796.14, 5,692.40 and 1,947.90 is: 2,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.14 : 5,692.40 = 1,947.90 : x
  2. Step 2: Convert to fraction form
    3,796.14/5,692.40 = 1,947.90/x
  3. Step 3: Cross multiply
    3,796.14x = 5,692.40 × 1,947.90
  4. Step 4: Simplify right side
    3,796.14x = 11,088,225.96
  5. Step 5: Solve for x
    x = 11,088,225.96/3,796.14
  6. Step 6: Final answer
    x = 2,920.92

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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.