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Finding the Fourth Proportional to 4,002.80, 6,004.20 and 3,657.20

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Solution

The fourth proportional to 4,002.80, 6,004.20 and 3,657.20 is: 5,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.80 : 6,004.20 = 3,657.20 : x
  2. Step 2: Convert to fraction form
    4,002.80/6,004.20 = 3,657.20/x
  3. Step 3: Cross multiply
    4,002.80x = 6,004.20 × 3,657.20
  4. Step 4: Simplify right side
    4,002.80x = 21,958,560.24
  5. Step 5: Solve for x
    x = 21,958,560.24/4,002.80
  6. Step 6: Final answer
    x = 5,485.80

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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.