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Finding the Fourth Proportional to 5,972.60, 8,956.73 and 2,023.22

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Solution

The fourth proportional to 5,972.60, 8,956.73 and 2,023.22 is: 3,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.60 : 8,956.73 = 2,023.22 : x
  2. Step 2: Convert to fraction form
    5,972.60/8,956.73 = 2,023.22/x
  3. Step 3: Cross multiply
    5,972.60x = 8,956.73 × 2,023.22
  4. Step 4: Simplify right side
    5,972.60x = 18,121,395.54
  5. Step 5: Solve for x
    x = 18,121,395.54/5,972.60
  6. Step 6: Final answer
    x = 3,034.09

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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.