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Finding the Fourth Proportional to 4,256.40, 6,399.10 and 3,910.64

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Solution

The fourth proportional to 4,256.40, 6,399.10 and 3,910.64 is: 5,879.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.40 : 6,399.10 = 3,910.64 : x
  2. Step 2: Convert to fraction form
    4,256.40/6,399.10 = 3,910.64/x
  3. Step 3: Cross multiply
    4,256.40x = 6,399.10 × 3,910.64
  4. Step 4: Simplify right side
    4,256.40x = 25,024,576.42
  5. Step 5: Solve for x
    x = 25,024,576.42/4,256.40
  6. Step 6: Final answer
    x = 5,879.28

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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.