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Finding the Fourth Proportional to 3,819.69, 5,733.63 and 3,210.12

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Solution

The fourth proportional to 3,819.69, 5,733.63 and 3,210.12 is: 4,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.69 : 5,733.63 = 3,210.12 : x
  2. Step 2: Convert to fraction form
    3,819.69/5,733.63 = 3,210.12/x
  3. Step 3: Cross multiply
    3,819.69x = 5,733.63 × 3,210.12
  4. Step 4: Simplify right side
    3,819.69x = 18,405,640.34
  5. Step 5: Solve for x
    x = 18,405,640.34/3,819.69
  6. Step 6: Final answer
    x = 4,818.62

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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.