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Finding the Fourth Proportional to 3,999.85, 5,521.57 and 2,584.23

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Solution

The fourth proportional to 3,999.85, 5,521.57 and 2,584.23 is: 3,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.85 : 5,521.57 = 2,584.23 : x
  2. Step 2: Convert to fraction form
    3,999.85/5,521.57 = 2,584.23/x
  3. Step 3: Cross multiply
    3,999.85x = 5,521.57 × 2,584.23
  4. Step 4: Simplify right side
    3,999.85x = 14,269,006.84
  5. Step 5: Solve for x
    x = 14,269,006.84/3,999.85
  6. Step 6: Final answer
    x = 3,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.