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Finding the Fourth Proportional to 3,162.35, 4,744.15 and 1,214.39

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Solution

The fourth proportional to 3,162.35, 4,744.15 and 1,214.39 is: 1,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.35 : 4,744.15 = 1,214.39 : x
  2. Step 2: Convert to fraction form
    3,162.35/4,744.15 = 1,214.39/x
  3. Step 3: Cross multiply
    3,162.35x = 4,744.15 × 1,214.39
  4. Step 4: Simplify right side
    3,162.35x = 5,761,257.14
  5. Step 5: Solve for x
    x = 5,761,257.14/3,162.35
  6. Step 6: Final answer
    x = 1,821.83

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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.