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Finding the Fourth Proportional to 4,950.57, 6,834.96 and 4,418.54

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Solution

The fourth proportional to 4,950.57, 6,834.96 and 4,418.54 is: 6,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.57 : 6,834.96 = 4,418.54 : x
  2. Step 2: Convert to fraction form
    4,950.57/6,834.96 = 4,418.54/x
  3. Step 3: Cross multiply
    4,950.57x = 6,834.96 × 4,418.54
  4. Step 4: Simplify right side
    4,950.57x = 30,200,487.89
  5. Step 5: Solve for x
    x = 30,200,487.89/4,950.57
  6. Step 6: Final answer
    x = 6,100.41

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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.