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Finding the Fourth Proportional to 4,486.26, 6,739.02 and 4,338.64

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Solution

The fourth proportional to 4,486.26, 6,739.02 and 4,338.64 is: 6,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.26 : 6,739.02 = 4,338.64 : x
  2. Step 2: Convert to fraction form
    4,486.26/6,739.02 = 4,338.64/x
  3. Step 3: Cross multiply
    4,486.26x = 6,739.02 × 4,338.64
  4. Step 4: Simplify right side
    4,486.26x = 29,238,181.73
  5. Step 5: Solve for x
    x = 29,238,181.73/4,486.26
  6. Step 6: Final answer
    x = 6,517.27

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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.