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Finding the Fourth Proportional to 4,508.25, 6,757.81 and 2,164.81

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Solution

The fourth proportional to 4,508.25, 6,757.81 and 2,164.81 is: 3,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.25 : 6,757.81 = 2,164.81 : x
  2. Step 2: Convert to fraction form
    4,508.25/6,757.81 = 2,164.81/x
  3. Step 3: Cross multiply
    4,508.25x = 6,757.81 × 2,164.81
  4. Step 4: Simplify right side
    4,508.25x = 14,629,374.67
  5. Step 5: Solve for x
    x = 14,629,374.67/4,508.25
  6. Step 6: Final answer
    x = 3,245.02

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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.