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Finding the Fourth Proportional to 5,259.41, 7,891.23 and 5,176.49

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Solution

The fourth proportional to 5,259.41, 7,891.23 and 5,176.49 is: 7,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.41 : 7,891.23 = 5,176.49 : x
  2. Step 2: Convert to fraction form
    5,259.41/7,891.23 = 5,176.49/x
  3. Step 3: Cross multiply
    5,259.41x = 7,891.23 × 5,176.49
  4. Step 4: Simplify right side
    5,259.41x = 40,848,833.73
  5. Step 5: Solve for x
    x = 40,848,833.73/5,259.41
  6. Step 6: Final answer
    x = 7,766.82

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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.