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Finding the Fourth Proportional to 6,540.58, 9,812.26 and 3,419.75

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Solution

The fourth proportional to 6,540.58, 9,812.26 and 3,419.75 is: 5,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.58 : 9,812.26 = 3,419.75 : x
  2. Step 2: Convert to fraction form
    6,540.58/9,812.26 = 3,419.75/x
  3. Step 3: Cross multiply
    6,540.58x = 9,812.26 × 3,419.75
  4. Step 4: Simplify right side
    6,540.58x = 33,555,504.94
  5. Step 5: Solve for x
    x = 33,555,504.94/6,540.58
  6. Step 6: Final answer
    x = 5,130.36

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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.