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Finding the Fourth Proportional to 5,770.78, 8,650.96 and 2,072.14

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Solution

The fourth proportional to 5,770.78, 8,650.96 and 2,072.14 is: 3,106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.78 : 8,650.96 = 2,072.14 : x
  2. Step 2: Convert to fraction form
    5,770.78/8,650.96 = 2,072.14/x
  3. Step 3: Cross multiply
    5,770.78x = 8,650.96 × 2,072.14
  4. Step 4: Simplify right side
    5,770.78x = 17,926,000.25
  5. Step 5: Solve for x
    x = 17,926,000.25/5,770.78
  6. Step 6: Final answer
    x = 3,106.34

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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.