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Finding the Fourth Proportional to 4,754.20, 7,133.46 and 1,982.92

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Solution

The fourth proportional to 4,754.20, 7,133.46 and 1,982.92 is: 2,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.20 : 7,133.46 = 1,982.92 : x
  2. Step 2: Convert to fraction form
    4,754.20/7,133.46 = 1,982.92/x
  3. Step 3: Cross multiply
    4,754.20x = 7,133.46 × 1,982.92
  4. Step 4: Simplify right side
    4,754.20x = 14,145,080.50
  5. Step 5: Solve for x
    x = 14,145,080.50/4,754.20
  6. Step 6: Final answer
    x = 2,975.28

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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.