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Finding the Fourth Proportional to 5,941.66, 8,912.74 and 2,654.78

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Solution

The fourth proportional to 5,941.66, 8,912.74 and 2,654.78 is: 3,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.66 : 8,912.74 = 2,654.78 : x
  2. Step 2: Convert to fraction form
    5,941.66/8,912.74 = 2,654.78/x
  3. Step 3: Cross multiply
    5,941.66x = 8,912.74 × 2,654.78
  4. Step 4: Simplify right side
    5,941.66x = 23,661,363.90
  5. Step 5: Solve for x
    x = 23,661,363.90/5,941.66
  6. Step 6: Final answer
    x = 3,982.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.