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Finding the Fourth Proportional to 3,768.04, 5,198.64 and 2,174.64

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Solution

The fourth proportional to 3,768.04, 5,198.64 and 2,174.64 is: 3,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.04 : 5,198.64 = 2,174.64 : x
  2. Step 2: Convert to fraction form
    3,768.04/5,198.64 = 2,174.64/x
  3. Step 3: Cross multiply
    3,768.04x = 5,198.64 × 2,174.64
  4. Step 4: Simplify right side
    3,768.04x = 11,305,170.49
  5. Step 5: Solve for x
    x = 11,305,170.49/3,768.04
  6. Step 6: Final answer
    x = 3,000.28

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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.