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Finding the Fourth Proportional to 3,338.67, 5,008.85 and 998.65

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Solution

The fourth proportional to 3,338.67, 5,008.85 and 998.65 is: 1,498.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.67 : 5,008.85 = 998.65 : x
  2. Step 2: Convert to fraction form
    3,338.67/5,008.85 = 998.65/x
  3. Step 3: Cross multiply
    3,338.67x = 5,008.85 × 998.65
  4. Step 4: Simplify right side
    3,338.67x = 5,002,088.05
  5. Step 5: Solve for x
    x = 5,002,088.05/3,338.67
  6. Step 6: Final answer
    x = 1,498.23

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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.