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Finding the Fourth Proportional to 5,076.44, 7,617.90 and 1,958.96

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Solution

The fourth proportional to 5,076.44, 7,617.90 and 1,958.96 is: 2,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.44 : 7,617.90 = 1,958.96 : x
  2. Step 2: Convert to fraction form
    5,076.44/7,617.90 = 1,958.96/x
  3. Step 3: Cross multiply
    5,076.44x = 7,617.90 × 1,958.96
  4. Step 4: Simplify right side
    5,076.44x = 14,923,113.50
  5. Step 5: Solve for x
    x = 14,923,113.50/5,076.44
  6. Step 6: Final answer
    x = 2,939.68

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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.