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Finding the Fourth Proportional to 4,800.26, 7,200.80 and 2,026.42

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Solution

The fourth proportional to 4,800.26, 7,200.80 and 2,026.42 is: 3,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.26 : 7,200.80 = 2,026.42 : x
  2. Step 2: Convert to fraction form
    4,800.26/7,200.80 = 2,026.42/x
  3. Step 3: Cross multiply
    4,800.26x = 7,200.80 × 2,026.42
  4. Step 4: Simplify right side
    4,800.26x = 14,591,845.14
  5. Step 5: Solve for x
    x = 14,591,845.14/4,800.26
  6. Step 6: Final answer
    x = 3,039.80

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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.