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Finding the Fourth Proportional to 5,820.70, 8,727.74 and 3,974.04

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Solution

The fourth proportional to 5,820.70, 8,727.74 and 3,974.04 is: 5,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.70 : 8,727.74 = 3,974.04 : x
  2. Step 2: Convert to fraction form
    5,820.70/8,727.74 = 3,974.04/x
  3. Step 3: Cross multiply
    5,820.70x = 8,727.74 × 3,974.04
  4. Step 4: Simplify right side
    5,820.70x = 34,684,387.87
  5. Step 5: Solve for x
    x = 34,684,387.87/5,820.70
  6. Step 6: Final answer
    x = 5,958.80

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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.