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Finding the Fourth Proportional to 4,950.43, 6,829.12 and 2,960.46

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Solution

The fourth proportional to 4,950.43, 6,829.12 and 2,960.46 is: 4,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.43 : 6,829.12 = 2,960.46 : x
  2. Step 2: Convert to fraction form
    4,950.43/6,829.12 = 2,960.46/x
  3. Step 3: Cross multiply
    4,950.43x = 6,829.12 × 2,960.46
  4. Step 4: Simplify right side
    4,950.43x = 20,217,336.60
  5. Step 5: Solve for x
    x = 20,217,336.60/4,950.43
  6. Step 6: Final answer
    x = 4,083.96

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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.