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Finding the Fourth Proportional to 5,734.46, 7,912.14 and 3,342.98

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Solution

The fourth proportional to 5,734.46, 7,912.14 and 3,342.98 is: 4,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.46 : 7,912.14 = 3,342.98 : x
  2. Step 2: Convert to fraction form
    5,734.46/7,912.14 = 3,342.98/x
  3. Step 3: Cross multiply
    5,734.46x = 7,912.14 × 3,342.98
  4. Step 4: Simplify right side
    5,734.46x = 26,450,125.78
  5. Step 5: Solve for x
    x = 26,450,125.78/5,734.46
  6. Step 6: Final answer
    x = 4,612.49

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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.