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Finding the Fourth Proportional to 3,849.46, 5,769.63 and 1,767.71

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Solution

The fourth proportional to 3,849.46, 5,769.63 and 1,767.71 is: 2,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.46 : 5,769.63 = 1,767.71 : x
  2. Step 2: Convert to fraction form
    3,849.46/5,769.63 = 1,767.71/x
  3. Step 3: Cross multiply
    3,849.46x = 5,769.63 × 1,767.71
  4. Step 4: Simplify right side
    3,849.46x = 10,199,032.65
  5. Step 5: Solve for x
    x = 10,199,032.65/3,849.46
  6. Step 6: Final answer
    x = 2,649.47

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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.