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Finding the Fourth Proportional to 3,999.19, 5,518.81 and 2,230.75

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Solution

The fourth proportional to 3,999.19, 5,518.81 and 2,230.75 is: 3,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.19 : 5,518.81 = 2,230.75 : x
  2. Step 2: Convert to fraction form
    3,999.19/5,518.81 = 2,230.75/x
  3. Step 3: Cross multiply
    3,999.19x = 5,518.81 × 2,230.75
  4. Step 4: Simplify right side
    3,999.19x = 12,311,085.41
  5. Step 5: Solve for x
    x = 12,311,085.41/3,999.19
  6. Step 6: Final answer
    x = 3,078.39

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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.