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Finding the Fourth Proportional to 4,793.14, 7,182.23 and 3,034.42

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Solution

The fourth proportional to 4,793.14, 7,182.23 and 3,034.42 is: 4,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.14 : 7,182.23 = 3,034.42 : x
  2. Step 2: Convert to fraction form
    4,793.14/7,182.23 = 3,034.42/x
  3. Step 3: Cross multiply
    4,793.14x = 7,182.23 × 3,034.42
  4. Step 4: Simplify right side
    4,793.14x = 21,793,902.36
  5. Step 5: Solve for x
    x = 21,793,902.36/4,793.14
  6. Step 6: Final answer
    x = 4,546.89

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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.