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Finding the Fourth Proportional to 4,819.38, 7,222.05 and 3,435.54

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Solution

The fourth proportional to 4,819.38, 7,222.05 and 3,435.54 is: 5,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.38 : 7,222.05 = 3,435.54 : x
  2. Step 2: Convert to fraction form
    4,819.38/7,222.05 = 3,435.54/x
  3. Step 3: Cross multiply
    4,819.38x = 7,222.05 × 3,435.54
  4. Step 4: Simplify right side
    4,819.38x = 24,811,641.66
  5. Step 5: Solve for x
    x = 24,811,641.66/4,819.38
  6. Step 6: Final answer
    x = 5,148.31

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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.