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Finding the Fourth Proportional to 5,342.46, 8,015.46 and 2,380.56

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Solution

The fourth proportional to 5,342.46, 8,015.46 and 2,380.56 is: 3,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.46 : 8,015.46 = 2,380.56 : x
  2. Step 2: Convert to fraction form
    5,342.46/8,015.46 = 2,380.56/x
  3. Step 3: Cross multiply
    5,342.46x = 8,015.46 × 2,380.56
  4. Step 4: Simplify right side
    5,342.46x = 19,081,283.46
  5. Step 5: Solve for x
    x = 19,081,283.46/5,342.46
  6. Step 6: Final answer
    x = 3,571.63

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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.