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Finding the Fourth Proportional to 5,731.92, 8,600.46 and 3,396.51

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Solution

The fourth proportional to 5,731.92, 8,600.46 and 3,396.51 is: 5,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.92 : 8,600.46 = 3,396.51 : x
  2. Step 2: Convert to fraction form
    5,731.92/8,600.46 = 3,396.51/x
  3. Step 3: Cross multiply
    5,731.92x = 8,600.46 × 3,396.51
  4. Step 4: Simplify right side
    5,731.92x = 29,211,548.39
  5. Step 5: Solve for x
    x = 29,211,548.39/5,731.92
  6. Step 6: Final answer
    x = 5,096.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.