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Finding the Fourth Proportional to 5,972.93, 8,956.31 and 2,683.21

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Solution

The fourth proportional to 5,972.93, 8,956.31 and 2,683.21 is: 4,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.93 : 8,956.31 = 2,683.21 : x
  2. Step 2: Convert to fraction form
    5,972.93/8,956.31 = 2,683.21/x
  3. Step 3: Cross multiply
    5,972.93x = 8,956.31 × 2,683.21
  4. Step 4: Simplify right side
    5,972.93x = 24,031,660.56
  5. Step 5: Solve for x
    x = 24,031,660.56/5,972.93
  6. Step 6: Final answer
    x = 4,023.43

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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.