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Finding the Fourth Proportional to 3,912.94, 5,402.19 and 3,475.54

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Solution

The fourth proportional to 3,912.94, 5,402.19 and 3,475.54 is: 4,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.94 : 5,402.19 = 3,475.54 : x
  2. Step 2: Convert to fraction form
    3,912.94/5,402.19 = 3,475.54/x
  3. Step 3: Cross multiply
    3,912.94x = 5,402.19 × 3,475.54
  4. Step 4: Simplify right side
    3,912.94x = 18,775,527.43
  5. Step 5: Solve for x
    x = 18,775,527.43/3,912.94
  6. Step 6: Final answer
    x = 4,798.32

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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.