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Finding the Fourth Proportional to 4,009.44, 6,005.04 and 2,771.24

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Solution

The fourth proportional to 4,009.44, 6,005.04 and 2,771.24 is: 4,150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.44 : 6,005.04 = 2,771.24 : x
  2. Step 2: Convert to fraction form
    4,009.44/6,005.04 = 2,771.24/x
  3. Step 3: Cross multiply
    4,009.44x = 6,005.04 × 2,771.24
  4. Step 4: Simplify right side
    4,009.44x = 16,641,407.05
  5. Step 5: Solve for x
    x = 16,641,407.05/4,009.44
  6. Step 6: Final answer
    x = 4,150.56

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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.