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Finding the Fourth Proportional to 5,211, 7,819.52 and 1,926.36

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Solution

The fourth proportional to 5,211, 7,819.52 and 1,926.36 is: 2,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211 : 7,819.52 = 1,926.36 : x
  2. Step 2: Convert to fraction form
    5,211/7,819.52 = 1,926.36/x
  3. Step 3: Cross multiply
    5,211x = 7,819.52 × 1,926.36
  4. Step 4: Simplify right side
    5,211x = 15,063,200.92
  5. Step 5: Solve for x
    x = 15,063,200.92/5,211
  6. Step 6: Final answer
    x = 2,890.65

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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.