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Finding the Fourth Proportional to 4,676.86, 7,016.37 and 2,080

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Solution

The fourth proportional to 4,676.86, 7,016.37 and 2,080 is: 3,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.86 : 7,016.37 = 2,080 : x
  2. Step 2: Convert to fraction form
    4,676.86/7,016.37 = 2,080/x
  3. Step 3: Cross multiply
    4,676.86x = 7,016.37 × 2,080
  4. Step 4: Simplify right side
    4,676.86x = 14,594,049.60
  5. Step 5: Solve for x
    x = 14,594,049.60/4,676.86
  6. Step 6: Final answer
    x = 3,120.48

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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.