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Finding the Fourth Proportional to 5,255.65, 7,881.31 and 4,212.37

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Solution

The fourth proportional to 5,255.65, 7,881.31 and 4,212.37 is: 6,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.65 : 7,881.31 = 4,212.37 : x
  2. Step 2: Convert to fraction form
    5,255.65/7,881.31 = 4,212.37/x
  3. Step 3: Cross multiply
    5,255.65x = 7,881.31 × 4,212.37
  4. Step 4: Simplify right side
    5,255.65x = 33,198,993.80
  5. Step 5: Solve for x
    x = 33,198,993.80/5,255.65
  6. Step 6: Final answer
    x = 6,316.82

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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.