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Finding the Fourth Proportional to 5,105.62, 7,654.82 and 1,983.03

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Solution

The fourth proportional to 5,105.62, 7,654.82 and 1,983.03 is: 2,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.62 : 7,654.82 = 1,983.03 : x
  2. Step 2: Convert to fraction form
    5,105.62/7,654.82 = 1,983.03/x
  3. Step 3: Cross multiply
    5,105.62x = 7,654.82 × 1,983.03
  4. Step 4: Simplify right side
    5,105.62x = 15,179,737.70
  5. Step 5: Solve for x
    x = 15,179,737.70/5,105.62
  6. Step 6: Final answer
    x = 2,973.14

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1.5x scale

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.