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Finding the Fourth Proportional to 5,767.80, 8,654.43 and 2,992.99

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Solution

The fourth proportional to 5,767.80, 8,654.43 and 2,992.99 is: 4,490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.80 : 8,654.43 = 2,992.99 : x
  2. Step 2: Convert to fraction form
    5,767.80/8,654.43 = 2,992.99/x
  3. Step 3: Cross multiply
    5,767.80x = 8,654.43 × 2,992.99
  4. Step 4: Simplify right side
    5,767.80x = 25,902,622.45
  5. Step 5: Solve for x
    x = 25,902,622.45/5,767.80
  6. Step 6: Final answer
    x = 4,490.90

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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.