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Finding the Fourth Proportional to 5,566.82, 7,682.31 and 3,049.02

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Solution

The fourth proportional to 5,566.82, 7,682.31 and 3,049.02 is: 4,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.82 : 7,682.31 = 3,049.02 : x
  2. Step 2: Convert to fraction form
    5,566.82/7,682.31 = 3,049.02/x
  3. Step 3: Cross multiply
    5,566.82x = 7,682.31 × 3,049.02
  4. Step 4: Simplify right side
    5,566.82x = 23,423,516.84
  5. Step 5: Solve for x
    x = 23,423,516.84/5,566.82
  6. Step 6: Final answer
    x = 4,207.71

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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.