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Finding the Fourth Proportional to 5,213.14, 7,819.71 and 1,317.55

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Solution

The fourth proportional to 5,213.14, 7,819.71 and 1,317.55 is: 1,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.14 : 7,819.71 = 1,317.55 : x
  2. Step 2: Convert to fraction form
    5,213.14/7,819.71 = 1,317.55/x
  3. Step 3: Cross multiply
    5,213.14x = 7,819.71 × 1,317.55
  4. Step 4: Simplify right side
    5,213.14x = 10,302,858.91
  5. Step 5: Solve for x
    x = 10,302,858.91/5,213.14
  6. Step 6: Final answer
    x = 1,976.33

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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.