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Finding the Fourth Proportional to 3,338.66, 5,012.10 and 3,166.44

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Solution

The fourth proportional to 3,338.66, 5,012.10 and 3,166.44 is: 4,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.66 : 5,012.10 = 3,166.44 : x
  2. Step 2: Convert to fraction form
    3,338.66/5,012.10 = 3,166.44/x
  3. Step 3: Cross multiply
    3,338.66x = 5,012.10 × 3,166.44
  4. Step 4: Simplify right side
    3,338.66x = 15,870,513.92
  5. Step 5: Solve for x
    x = 15,870,513.92/3,338.66
  6. Step 6: Final answer
    x = 4,753.57

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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.