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Finding the Fourth Proportional to 4,946.67, 6,826.49 and 3,375.27

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Solution

The fourth proportional to 4,946.67, 6,826.49 and 3,375.27 is: 4,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.67 : 6,826.49 = 3,375.27 : x
  2. Step 2: Convert to fraction form
    4,946.67/6,826.49 = 3,375.27/x
  3. Step 3: Cross multiply
    4,946.67x = 6,826.49 × 3,375.27
  4. Step 4: Simplify right side
    4,946.67x = 23,041,246.90
  5. Step 5: Solve for x
    x = 23,041,246.90/4,946.67
  6. Step 6: Final answer
    x = 4,657.93

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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.