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Finding the Fourth Proportional to 5,239.89, 7,856.82 and 3,133.62

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Solution

The fourth proportional to 5,239.89, 7,856.82 and 3,133.62 is: 4,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.89 : 7,856.82 = 3,133.62 : x
  2. Step 2: Convert to fraction form
    5,239.89/7,856.82 = 3,133.62/x
  3. Step 3: Cross multiply
    5,239.89x = 7,856.82 × 3,133.62
  4. Step 4: Simplify right side
    5,239.89x = 24,620,288.29
  5. Step 5: Solve for x
    x = 24,620,288.29/5,239.89
  6. Step 6: Final answer
    x = 4,698.63

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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.