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Finding the Fourth Proportional to 3,849.66, 5,769.99 and 1,769.90

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Solution

The fourth proportional to 3,849.66, 5,769.99 and 1,769.90 is: 2,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.66 : 5,769.99 = 1,769.90 : x
  2. Step 2: Convert to fraction form
    3,849.66/5,769.99 = 1,769.90/x
  3. Step 3: Cross multiply
    3,849.66x = 5,769.99 × 1,769.90
  4. Step 4: Simplify right side
    3,849.66x = 10,212,276.45
  5. Step 5: Solve for x
    x = 10,212,276.45/3,849.66
  6. Step 6: Final answer
    x = 2,652.77

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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.