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Finding the Fourth Proportional to 5,990.68, 8,974.10 and 3,647.80

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Solution

The fourth proportional to 5,990.68, 8,974.10 and 3,647.80 is: 5,464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.68 : 8,974.10 = 3,647.80 : x
  2. Step 2: Convert to fraction form
    5,990.68/8,974.10 = 3,647.80/x
  3. Step 3: Cross multiply
    5,990.68x = 8,974.10 × 3,647.80
  4. Step 4: Simplify right side
    5,990.68x = 32,735,721.98
  5. Step 5: Solve for x
    x = 32,735,721.98/5,990.68
  6. Step 6: Final answer
    x = 5,464.44

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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.