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Finding the Fourth Proportional to 3,274.92, 4,912.38 and 1,887.37

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Solution

The fourth proportional to 3,274.92, 4,912.38 and 1,887.37 is: 2,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.92 : 4,912.38 = 1,887.37 : x
  2. Step 2: Convert to fraction form
    3,274.92/4,912.38 = 1,887.37/x
  3. Step 3: Cross multiply
    3,274.92x = 4,912.38 × 1,887.37
  4. Step 4: Simplify right side
    3,274.92x = 9,271,472.74
  5. Step 5: Solve for x
    x = 9,271,472.74/3,274.92
  6. Step 6: Final answer
    x = 2,831.05

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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.