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Finding the Fourth Proportional to 4,766.49, 7,146.85 and 2,133.51

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Solution

The fourth proportional to 4,766.49, 7,146.85 and 2,133.51 is: 3,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.49 : 7,146.85 = 2,133.51 : x
  2. Step 2: Convert to fraction form
    4,766.49/7,146.85 = 2,133.51/x
  3. Step 3: Cross multiply
    4,766.49x = 7,146.85 × 2,133.51
  4. Step 4: Simplify right side
    4,766.49x = 15,247,865.28
  5. Step 5: Solve for x
    x = 15,247,865.28/4,766.49
  6. Step 6: Final answer
    x = 3,198.97

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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.