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Finding the Fourth Proportional to 5,757.80, 8,636.70 and 2,064.20

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Solution

The fourth proportional to 5,757.80, 8,636.70 and 2,064.20 is: 3,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.80 : 8,636.70 = 2,064.20 : x
  2. Step 2: Convert to fraction form
    5,757.80/8,636.70 = 2,064.20/x
  3. Step 3: Cross multiply
    5,757.80x = 8,636.70 × 2,064.20
  4. Step 4: Simplify right side
    5,757.80x = 17,827,876.14
  5. Step 5: Solve for x
    x = 17,827,876.14/5,757.80
  6. Step 6: Final answer
    x = 3,096.30

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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.