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Finding the Fourth Proportional to 5,474.86, 8,212.24 and 3,715.51

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Solution

The fourth proportional to 5,474.86, 8,212.24 and 3,715.51 is: 5,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474.86 : 8,212.24 = 3,715.51 : x
  2. Step 2: Convert to fraction form
    5,474.86/8,212.24 = 3,715.51/x
  3. Step 3: Cross multiply
    5,474.86x = 8,212.24 × 3,715.51
  4. Step 4: Simplify right side
    5,474.86x = 30,512,659.84
  5. Step 5: Solve for x
    x = 30,512,659.84/5,474.86
  6. Step 6: Final answer
    x = 5,573.23

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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.