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Finding the Fourth Proportional to 3,884.32, 5,826.48 and 2,735.20

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Solution

The fourth proportional to 3,884.32, 5,826.48 and 2,735.20 is: 4,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.32 : 5,826.48 = 2,735.20 : x
  2. Step 2: Convert to fraction form
    3,884.32/5,826.48 = 2,735.20/x
  3. Step 3: Cross multiply
    3,884.32x = 5,826.48 × 2,735.20
  4. Step 4: Simplify right side
    3,884.32x = 15,936,588.10
  5. Step 5: Solve for x
    x = 15,936,588.10/3,884.32
  6. Step 6: Final answer
    x = 4,102.80

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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.