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Finding the Fourth Proportional to 3,338.25, 5,007.65 and 1,029.75

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Solution

The fourth proportional to 3,338.25, 5,007.65 and 1,029.75 is: 1,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.25 : 5,007.65 = 1,029.75 : x
  2. Step 2: Convert to fraction form
    3,338.25/5,007.65 = 1,029.75/x
  3. Step 3: Cross multiply
    3,338.25x = 5,007.65 × 1,029.75
  4. Step 4: Simplify right side
    3,338.25x = 5,156,622.44
  5. Step 5: Solve for x
    x = 5,156,622.44/3,338.25
  6. Step 6: Final answer
    x = 1,544.71

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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.