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Finding the Fourth Proportional to 5,682.33, 8,522.78 and 1,786.77

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Solution

The fourth proportional to 5,682.33, 8,522.78 and 1,786.77 is: 2,679.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.33 : 8,522.78 = 1,786.77 : x
  2. Step 2: Convert to fraction form
    5,682.33/8,522.78 = 1,786.77/x
  3. Step 3: Cross multiply
    5,682.33x = 8,522.78 × 1,786.77
  4. Step 4: Simplify right side
    5,682.33x = 15,228,238.69
  5. Step 5: Solve for x
    x = 15,228,238.69/5,682.33
  6. Step 6: Final answer
    x = 2,679.93

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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.