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Finding the Fourth Proportional to 5,174.85, 7,764.03 and 3,228.42

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Solution

The fourth proportional to 5,174.85, 7,764.03 and 3,228.42 is: 4,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.85 : 7,764.03 = 3,228.42 : x
  2. Step 2: Convert to fraction form
    5,174.85/7,764.03 = 3,228.42/x
  3. Step 3: Cross multiply
    5,174.85x = 7,764.03 × 3,228.42
  4. Step 4: Simplify right side
    5,174.85x = 25,065,549.73
  5. Step 5: Solve for x
    x = 25,065,549.73/5,174.85
  6. Step 6: Final answer
    x = 4,843.72

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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.