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Finding the Fourth Proportional to 5,972.70, 8,960.04 and 2,076.06

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Solution

The fourth proportional to 5,972.70, 8,960.04 and 2,076.06 is: 3,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.70 : 8,960.04 = 2,076.06 : x
  2. Step 2: Convert to fraction form
    5,972.70/8,960.04 = 2,076.06/x
  3. Step 3: Cross multiply
    5,972.70x = 8,960.04 × 2,076.06
  4. Step 4: Simplify right side
    5,972.70x = 18,601,580.64
  5. Step 5: Solve for x
    x = 18,601,580.64/5,972.70
  6. Step 6: Final answer
    x = 3,114.43

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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.