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Finding the Fourth Proportional to 4,952.46, 6,834.21 and 2,961.84

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Solution

The fourth proportional to 4,952.46, 6,834.21 and 2,961.84 is: 4,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.46 : 6,834.21 = 2,961.84 : x
  2. Step 2: Convert to fraction form
    4,952.46/6,834.21 = 2,961.84/x
  3. Step 3: Cross multiply
    4,952.46x = 6,834.21 × 2,961.84
  4. Step 4: Simplify right side
    4,952.46x = 20,241,836.55
  5. Step 5: Solve for x
    x = 20,241,836.55/4,952.46
  6. Step 6: Final answer
    x = 4,087.23

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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.