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Finding the Fourth Proportional to 4,004.80, 5,997.92 and 3,866.40

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Solution

The fourth proportional to 4,004.80, 5,997.92 and 3,866.40 is: 5,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.80 : 5,997.92 = 3,866.40 : x
  2. Step 2: Convert to fraction form
    4,004.80/5,997.92 = 3,866.40/x
  3. Step 3: Cross multiply
    4,004.80x = 5,997.92 × 3,866.40
  4. Step 4: Simplify right side
    4,004.80x = 23,190,357.89
  5. Step 5: Solve for x
    x = 23,190,357.89/4,004.80
  6. Step 6: Final answer
    x = 5,790.64

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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.