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Finding the Fourth Proportional to 4,625.67, 6,936.85 and 1,338.09

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Solution

The fourth proportional to 4,625.67, 6,936.85 and 1,338.09 is: 2,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.67 : 6,936.85 = 1,338.09 : x
  2. Step 2: Convert to fraction form
    4,625.67/6,936.85 = 1,338.09/x
  3. Step 3: Cross multiply
    4,625.67x = 6,936.85 × 1,338.09
  4. Step 4: Simplify right side
    4,625.67x = 9,282,105.28
  5. Step 5: Solve for x
    x = 9,282,105.28/4,625.67
  6. Step 6: Final answer
    x = 2,006.65

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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.