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Finding the Fourth Proportional to 5,231.67, 7,219.67 and 3,135.79

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Solution

The fourth proportional to 5,231.67, 7,219.67 and 3,135.79 is: 4,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.67 : 7,219.67 = 3,135.79 : x
  2. Step 2: Convert to fraction form
    5,231.67/7,219.67 = 3,135.79/x
  3. Step 3: Cross multiply
    5,231.67x = 7,219.67 × 3,135.79
  4. Step 4: Simplify right side
    5,231.67x = 22,639,353.31
  5. Step 5: Solve for x
    x = 22,639,353.31/5,231.67
  6. Step 6: Final answer
    x = 4,327.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.