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Finding the Fourth Proportional to 3,164.97, 4,747.46 and 1,432.38

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Solution

The fourth proportional to 3,164.97, 4,747.46 and 1,432.38 is: 2,148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.97 : 4,747.46 = 1,432.38 : x
  2. Step 2: Convert to fraction form
    3,164.97/4,747.46 = 1,432.38/x
  3. Step 3: Cross multiply
    3,164.97x = 4,747.46 × 1,432.38
  4. Step 4: Simplify right side
    3,164.97x = 6,800,166.75
  5. Step 5: Solve for x
    x = 6,800,166.75/3,164.97
  6. Step 6: Final answer
    x = 2,148.57

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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.