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Finding the Fourth Proportional to 5,786.03, 8,677.24 and 2,087.77

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Solution

The fourth proportional to 5,786.03, 8,677.24 and 2,087.77 is: 3,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.03 : 8,677.24 = 2,087.77 : x
  2. Step 2: Convert to fraction form
    5,786.03/8,677.24 = 2,087.77/x
  3. Step 3: Cross multiply
    5,786.03x = 8,677.24 × 2,087.77
  4. Step 4: Simplify right side
    5,786.03x = 18,116,097.83
  5. Step 5: Solve for x
    x = 18,116,097.83/5,786.03
  6. Step 6: Final answer
    x = 3,131.01

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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.