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Finding the Fourth Proportional to 4,951.26, 6,826.23 and 4,144.14

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Solution

The fourth proportional to 4,951.26, 6,826.23 and 4,144.14 is: 5,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.26 : 6,826.23 = 4,144.14 : x
  2. Step 2: Convert to fraction form
    4,951.26/6,826.23 = 4,144.14/x
  3. Step 3: Cross multiply
    4,951.26x = 6,826.23 × 4,144.14
  4. Step 4: Simplify right side
    4,951.26x = 28,288,852.79
  5. Step 5: Solve for x
    x = 28,288,852.79/4,951.26
  6. Step 6: Final answer
    x = 5,713.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.