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Finding the Fourth Proportional to 3,796.20, 5,695.11 and 1,603.80

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Solution

The fourth proportional to 3,796.20, 5,695.11 and 1,603.80 is: 2,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.20 : 5,695.11 = 1,603.80 : x
  2. Step 2: Convert to fraction form
    3,796.20/5,695.11 = 1,603.80/x
  3. Step 3: Cross multiply
    3,796.20x = 5,695.11 × 1,603.80
  4. Step 4: Simplify right side
    3,796.20x = 9,133,817.42
  5. Step 5: Solve for x
    x = 9,133,817.42/3,796.20
  6. Step 6: Final answer
    x = 2,406.04

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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.