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Finding the Fourth Proportional to 3,076.56, 4,613.92 and 996.62

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Solution

The fourth proportional to 3,076.56, 4,613.92 and 996.62 is: 1,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.56 : 4,613.92 = 996.62 : x
  2. Step 2: Convert to fraction form
    3,076.56/4,613.92 = 996.62/x
  3. Step 3: Cross multiply
    3,076.56x = 4,613.92 × 996.62
  4. Step 4: Simplify right side
    3,076.56x = 4,598,324.95
  5. Step 5: Solve for x
    x = 4,598,324.95/3,076.56
  6. Step 6: Final answer
    x = 1,494.63

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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.