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Finding the Fourth Proportional to 4,161.59, 6,230.26 and 2,182.53

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Solution

The fourth proportional to 4,161.59, 6,230.26 and 2,182.53 is: 3,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.59 : 6,230.26 = 2,182.53 : x
  2. Step 2: Convert to fraction form
    4,161.59/6,230.26 = 2,182.53/x
  3. Step 3: Cross multiply
    4,161.59x = 6,230.26 × 2,182.53
  4. Step 4: Simplify right side
    4,161.59x = 13,597,708.33
  5. Step 5: Solve for x
    x = 13,597,708.33/4,161.59
  6. Step 6: Final answer
    x = 3,267.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.