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Finding the Fourth Proportional to 5,732.81, 8,596.02 and 1,982.71

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Solution

The fourth proportional to 5,732.81, 8,596.02 and 1,982.71 is: 2,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.81 : 8,596.02 = 1,982.71 : x
  2. Step 2: Convert to fraction form
    5,732.81/8,596.02 = 1,982.71/x
  3. Step 3: Cross multiply
    5,732.81x = 8,596.02 × 1,982.71
  4. Step 4: Simplify right side
    5,732.81x = 17,043,432.99
  5. Step 5: Solve for x
    x = 17,043,432.99/5,732.81
  6. Step 6: Final answer
    x = 2,972.96

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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.