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Finding the Fourth Proportional to 3,831.49, 5,749.05 and 1,882.63

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Solution

The fourth proportional to 3,831.49, 5,749.05 and 1,882.63 is: 2,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.49 : 5,749.05 = 1,882.63 : x
  2. Step 2: Convert to fraction form
    3,831.49/5,749.05 = 1,882.63/x
  3. Step 3: Cross multiply
    3,831.49x = 5,749.05 × 1,882.63
  4. Step 4: Simplify right side
    3,831.49x = 10,823,305.26
  5. Step 5: Solve for x
    x = 10,823,305.26/3,831.49
  6. Step 6: Final answer
    x = 2,824.83

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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.