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Finding the Fourth Proportional to 5,336.80, 7,999.80 and 3,144.40

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Solution

The fourth proportional to 5,336.80, 7,999.80 and 3,144.40 is: 4,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.80 : 7,999.80 = 3,144.40 : x
  2. Step 2: Convert to fraction form
    5,336.80/7,999.80 = 3,144.40/x
  3. Step 3: Cross multiply
    5,336.80x = 7,999.80 × 3,144.40
  4. Step 4: Simplify right side
    5,336.80x = 25,154,571.12
  5. Step 5: Solve for x
    x = 25,154,571.12/5,336.80
  6. Step 6: Final answer
    x = 4,713.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.