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Finding the Fourth Proportional to 5,323.54, 7,982.97 and 1,990.50

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Solution

The fourth proportional to 5,323.54, 7,982.97 and 1,990.50 is: 2,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.54 : 7,982.97 = 1,990.50 : x
  2. Step 2: Convert to fraction form
    5,323.54/7,982.97 = 1,990.50/x
  3. Step 3: Cross multiply
    5,323.54x = 7,982.97 × 1,990.50
  4. Step 4: Simplify right side
    5,323.54x = 15,890,101.79
  5. Step 5: Solve for x
    x = 15,890,101.79/5,323.54
  6. Step 6: Final answer
    x = 2,984.88

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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.