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Finding the Fourth Proportional to 3,451.62, 5,175.87 and 985.85

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Solution

The fourth proportional to 3,451.62, 5,175.87 and 985.85 is: 1,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.62 : 5,175.87 = 985.85 : x
  2. Step 2: Convert to fraction form
    3,451.62/5,175.87 = 985.85/x
  3. Step 3: Cross multiply
    3,451.62x = 5,175.87 × 985.85
  4. Step 4: Simplify right side
    3,451.62x = 5,102,631.44
  5. Step 5: Solve for x
    x = 5,102,631.44/3,451.62
  6. Step 6: Final answer
    x = 1,478.33

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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.