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Finding the Fourth Proportional to 5,878.82, 8,817.96 and 1,983.20

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Solution

The fourth proportional to 5,878.82, 8,817.96 and 1,983.20 is: 2,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.82 : 8,817.96 = 1,983.20 : x
  2. Step 2: Convert to fraction form
    5,878.82/8,817.96 = 1,983.20/x
  3. Step 3: Cross multiply
    5,878.82x = 8,817.96 × 1,983.20
  4. Step 4: Simplify right side
    5,878.82x = 17,487,778.27
  5. Step 5: Solve for x
    x = 17,487,778.27/5,878.82
  6. Step 6: Final answer
    x = 2,974.71

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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.