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Finding the Fourth Proportional to 5,306.73, 7,964.24 and 3,674.72

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Solution

The fourth proportional to 5,306.73, 7,964.24 and 3,674.72 is: 5,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.73 : 7,964.24 = 3,674.72 : x
  2. Step 2: Convert to fraction form
    5,306.73/7,964.24 = 3,674.72/x
  3. Step 3: Cross multiply
    5,306.73x = 7,964.24 × 3,674.72
  4. Step 4: Simplify right side
    5,306.73x = 29,266,293.82
  5. Step 5: Solve for x
    x = 29,266,293.82/5,306.73
  6. Step 6: Final answer
    x = 5,514.94

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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.