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Finding the Fourth Proportional to 5,540.97, 7,646.60 and 3,023.06

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Solution

The fourth proportional to 5,540.97, 7,646.60 and 3,023.06 is: 4,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.97 : 7,646.60 = 3,023.06 : x
  2. Step 2: Convert to fraction form
    5,540.97/7,646.60 = 3,023.06/x
  3. Step 3: Cross multiply
    5,540.97x = 7,646.60 × 3,023.06
  4. Step 4: Simplify right side
    5,540.97x = 23,116,099.92
  5. Step 5: Solve for x
    x = 23,116,099.92/5,540.97
  6. Step 6: Final answer
    x = 4,171.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.