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Finding the Fourth Proportional to 4,078.56, 6,109.74 and 1,884.27

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Solution

The fourth proportional to 4,078.56, 6,109.74 and 1,884.27 is: 2,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.56 : 6,109.74 = 1,884.27 : x
  2. Step 2: Convert to fraction form
    4,078.56/6,109.74 = 1,884.27/x
  3. Step 3: Cross multiply
    4,078.56x = 6,109.74 × 1,884.27
  4. Step 4: Simplify right side
    4,078.56x = 11,512,399.79
  5. Step 5: Solve for x
    x = 11,512,399.79/4,078.56
  6. Step 6: Final answer
    x = 2,822.66

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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.