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Finding the Fourth Proportional to 3,831.37, 5,745.16 and 2,250.49

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Solution

The fourth proportional to 3,831.37, 5,745.16 and 2,250.49 is: 3,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.37 : 5,745.16 = 2,250.49 : x
  2. Step 2: Convert to fraction form
    3,831.37/5,745.16 = 2,250.49/x
  3. Step 3: Cross multiply
    3,831.37x = 5,745.16 × 2,250.49
  4. Step 4: Simplify right side
    3,831.37x = 12,929,425.13
  5. Step 5: Solve for x
    x = 12,929,425.13/3,831.37
  6. Step 6: Final answer
    x = 3,374.62

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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.