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Finding the Fourth Proportional to 3,868.48, 5,336.46 and 2,274.82

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Solution

The fourth proportional to 3,868.48, 5,336.46 and 2,274.82 is: 3,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.48 : 5,336.46 = 2,274.82 : x
  2. Step 2: Convert to fraction form
    3,868.48/5,336.46 = 2,274.82/x
  3. Step 3: Cross multiply
    3,868.48x = 5,336.46 × 2,274.82
  4. Step 4: Simplify right side
    3,868.48x = 12,139,485.94
  5. Step 5: Solve for x
    x = 12,139,485.94/3,868.48
  6. Step 6: Final answer
    x = 3,138.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.