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Finding the Fourth Proportional to 5,461.73, 8,194.32 and 1,951.66

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Solution

The fourth proportional to 5,461.73, 8,194.32 and 1,951.66 is: 2,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.73 : 8,194.32 = 1,951.66 : x
  2. Step 2: Convert to fraction form
    5,461.73/8,194.32 = 1,951.66/x
  3. Step 3: Cross multiply
    5,461.73x = 8,194.32 × 1,951.66
  4. Step 4: Simplify right side
    5,461.73x = 15,992,526.57
  5. Step 5: Solve for x
    x = 15,992,526.57/5,461.73
  6. Step 6: Final answer
    x = 2,928.11

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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.