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Finding the Fourth Proportional to 4,896.25, 7,344.34 and 1,972.49

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Solution

The fourth proportional to 4,896.25, 7,344.34 and 1,972.49 is: 2,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.25 : 7,344.34 = 1,972.49 : x
  2. Step 2: Convert to fraction form
    4,896.25/7,344.34 = 1,972.49/x
  3. Step 3: Cross multiply
    4,896.25x = 7,344.34 × 1,972.49
  4. Step 4: Simplify right side
    4,896.25x = 14,486,595.55
  5. Step 5: Solve for x
    x = 14,486,595.55/4,896.25
  6. Step 6: Final answer
    x = 2,958.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.