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Finding the Fourth Proportional to 4,638.80, 6,951 and 2,993.96

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Solution

The fourth proportional to 4,638.80, 6,951 and 2,993.96 is: 4,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.80 : 6,951 = 2,993.96 : x
  2. Step 2: Convert to fraction form
    4,638.80/6,951 = 2,993.96/x
  3. Step 3: Cross multiply
    4,638.80x = 6,951 × 2,993.96
  4. Step 4: Simplify right side
    4,638.80x = 20,811,015.96
  5. Step 5: Solve for x
    x = 20,811,015.96/4,638.80
  6. Step 6: Final answer
    x = 4,486.29

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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.