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Finding the Fourth Proportional to 3,338.49, 5,006.21 and 1,778.09

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Solution

The fourth proportional to 3,338.49, 5,006.21 and 1,778.09 is: 2,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.49 : 5,006.21 = 1,778.09 : x
  2. Step 2: Convert to fraction form
    3,338.49/5,006.21 = 1,778.09/x
  3. Step 3: Cross multiply
    3,338.49x = 5,006.21 × 1,778.09
  4. Step 4: Simplify right side
    3,338.49x = 8,901,491.94
  5. Step 5: Solve for x
    x = 8,901,491.94/3,338.49
  6. Step 6: Final answer
    x = 2,666.32

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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.