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Finding the Fourth Proportional to 4,908.80, 7,358.40 and 1,983.20

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Solution

The fourth proportional to 4,908.80, 7,358.40 and 1,983.20 is: 2,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.80 : 7,358.40 = 1,983.20 : x
  2. Step 2: Convert to fraction form
    4,908.80/7,358.40 = 1,983.20/x
  3. Step 3: Cross multiply
    4,908.80x = 7,358.40 × 1,983.20
  4. Step 4: Simplify right side
    4,908.80x = 14,593,178.88
  5. Step 5: Solve for x
    x = 14,593,178.88/4,908.80
  6. Step 6: Final answer
    x = 2,972.86

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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.