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Finding the Fourth Proportional to 5,786.88, 8,683.08 and 3,012.96

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Solution

The fourth proportional to 5,786.88, 8,683.08 and 3,012.96 is: 4,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.88 : 8,683.08 = 3,012.96 : x
  2. Step 2: Convert to fraction form
    5,786.88/8,683.08 = 3,012.96/x
  3. Step 3: Cross multiply
    5,786.88x = 8,683.08 × 3,012.96
  4. Step 4: Simplify right side
    5,786.88x = 26,161,772.72
  5. Step 5: Solve for x
    x = 26,161,772.72/5,786.88
  6. Step 6: Final answer
    x = 4,520.88

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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.