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Finding the Fourth Proportional to 3,990.92, 5,984.06 and 1,525.91

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Solution

The fourth proportional to 3,990.92, 5,984.06 and 1,525.91 is: 2,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.92 : 5,984.06 = 1,525.91 : x
  2. Step 2: Convert to fraction form
    3,990.92/5,984.06 = 1,525.91/x
  3. Step 3: Cross multiply
    3,990.92x = 5,984.06 × 1,525.91
  4. Step 4: Simplify right side
    3,990.92x = 9,131,099.44
  5. Step 5: Solve for x
    x = 9,131,099.44/3,990.92
  6. Step 6: Final answer
    x = 2,287.97

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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.