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Finding the Fourth Proportional to 3,472.74, 5,212.26 and 1,830.42

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Solution

The fourth proportional to 3,472.74, 5,212.26 and 1,830.42 is: 2,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.74 : 5,212.26 = 1,830.42 : x
  2. Step 2: Convert to fraction form
    3,472.74/5,212.26 = 1,830.42/x
  3. Step 3: Cross multiply
    3,472.74x = 5,212.26 × 1,830.42
  4. Step 4: Simplify right side
    3,472.74x = 9,540,624.95
  5. Step 5: Solve for x
    x = 9,540,624.95/3,472.74
  6. Step 6: Final answer
    x = 2,747.29

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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.