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Finding the Fourth Proportional to 3,951.89, 5,930.19 and 2,288.15

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Solution

The fourth proportional to 3,951.89, 5,930.19 and 2,288.15 is: 3,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.89 : 5,930.19 = 2,288.15 : x
  2. Step 2: Convert to fraction form
    3,951.89/5,930.19 = 2,288.15/x
  3. Step 3: Cross multiply
    3,951.89x = 5,930.19 × 2,288.15
  4. Step 4: Simplify right side
    3,951.89x = 13,569,164.25
  5. Step 5: Solve for x
    x = 13,569,164.25/3,951.89
  6. Step 6: Final answer
    x = 3,433.59

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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.