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Finding the Fourth Proportional to 5,881.88, 8,822.72 and 3,107.96

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Solution

The fourth proportional to 5,881.88, 8,822.72 and 3,107.96 is: 4,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.88 : 8,822.72 = 3,107.96 : x
  2. Step 2: Convert to fraction form
    5,881.88/8,822.72 = 3,107.96/x
  3. Step 3: Cross multiply
    5,881.88x = 8,822.72 × 3,107.96
  4. Step 4: Simplify right side
    5,881.88x = 27,420,660.85
  5. Step 5: Solve for x
    x = 27,420,660.85/5,881.88
  6. Step 6: Final answer
    x = 4,661.89

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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.