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Finding the Fourth Proportional to 5,179.41, 7,770.33 and 1,892.57

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Solution

The fourth proportional to 5,179.41, 7,770.33 and 1,892.57 is: 2,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.41 : 7,770.33 = 1,892.57 : x
  2. Step 2: Convert to fraction form
    5,179.41/7,770.33 = 1,892.57/x
  3. Step 3: Cross multiply
    5,179.41x = 7,770.33 × 1,892.57
  4. Step 4: Simplify right side
    5,179.41x = 14,705,854.60
  5. Step 5: Solve for x
    x = 14,705,854.60/5,179.41
  6. Step 6: Final answer
    x = 2,839.29

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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.