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Finding the Fourth Proportional to 6,540.98, 9,804.58 and 2,157.26

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Solution

The fourth proportional to 6,540.98, 9,804.58 and 2,157.26 is: 3,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.98 : 9,804.58 = 2,157.26 : x
  2. Step 2: Convert to fraction form
    6,540.98/9,804.58 = 2,157.26/x
  3. Step 3: Cross multiply
    6,540.98x = 9,804.58 × 2,157.26
  4. Step 4: Simplify right side
    6,540.98x = 21,151,028.25
  5. Step 5: Solve for x
    x = 21,151,028.25/6,540.98
  6. Step 6: Final answer
    x = 3,233.62

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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.