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Finding the Fourth Proportional to 5,852, 8,777.97 and 1,906.53

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Solution

The fourth proportional to 5,852, 8,777.97 and 1,906.53 is: 2,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852 : 8,777.97 = 1,906.53 : x
  2. Step 2: Convert to fraction form
    5,852/8,777.97 = 1,906.53/x
  3. Step 3: Cross multiply
    5,852x = 8,777.97 × 1,906.53
  4. Step 4: Simplify right side
    5,852x = 16,735,463.14
  5. Step 5: Solve for x
    x = 16,735,463.14/5,852
  6. Step 6: Final answer
    x = 2,859.79

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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.