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Finding the Fourth Proportional to 3,831.70, 5,748.79 and 1,882.54

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Solution

The fourth proportional to 3,831.70, 5,748.79 and 1,882.54 is: 2,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.70 : 5,748.79 = 1,882.54 : x
  2. Step 2: Convert to fraction form
    3,831.70/5,748.79 = 1,882.54/x
  3. Step 3: Cross multiply
    3,831.70x = 5,748.79 × 1,882.54
  4. Step 4: Simplify right side
    3,831.70x = 10,822,327.13
  5. Step 5: Solve for x
    x = 10,822,327.13/3,831.70
  6. Step 6: Final answer
    x = 2,824.42

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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.