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Finding the Fourth Proportional to 5,786.22, 8,677.53 and 2,087.97

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Solution

The fourth proportional to 5,786.22, 8,677.53 and 2,087.97 is: 3,131.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.22 : 8,677.53 = 2,087.97 : x
  2. Step 2: Convert to fraction form
    5,786.22/8,677.53 = 2,087.97/x
  3. Step 3: Cross multiply
    5,786.22x = 8,677.53 × 2,087.97
  4. Step 4: Simplify right side
    5,786.22x = 18,118,389.77
  5. Step 5: Solve for x
    x = 18,118,389.77/5,786.22
  6. Step 6: Final answer
    x = 3,131.30

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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.