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Finding the Fourth Proportional to 5,849.78, 8,769.40 and 2,149.49

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Solution

The fourth proportional to 5,849.78, 8,769.40 and 2,149.49 is: 3,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.78 : 8,769.40 = 2,149.49 : x
  2. Step 2: Convert to fraction form
    5,849.78/8,769.40 = 2,149.49/x
  3. Step 3: Cross multiply
    5,849.78x = 8,769.40 × 2,149.49
  4. Step 4: Simplify right side
    5,849.78x = 18,849,754.16
  5. Step 5: Solve for x
    x = 18,849,754.16/5,849.78
  6. Step 6: Final answer
    x = 3,222.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.