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Finding the Fourth Proportional to 4,223.80, 6,326.46 and 2,140.22

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Solution

The fourth proportional to 4,223.80, 6,326.46 and 2,140.22 is: 3,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.80 : 6,326.46 = 2,140.22 : x
  2. Step 2: Convert to fraction form
    4,223.80/6,326.46 = 2,140.22/x
  3. Step 3: Cross multiply
    4,223.80x = 6,326.46 × 2,140.22
  4. Step 4: Simplify right side
    4,223.80x = 13,540,016.22
  5. Step 5: Solve for x
    x = 13,540,016.22/4,223.80
  6. Step 6: Final answer
    x = 3,205.65

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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.