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Finding the Fourth Proportional to 5,540.98, 7,646.50 and 3,023.11

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Solution

The fourth proportional to 5,540.98, 7,646.50 and 3,023.11 is: 4,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.98 : 7,646.50 = 3,023.11 : x
  2. Step 2: Convert to fraction form
    5,540.98/7,646.50 = 3,023.11/x
  3. Step 3: Cross multiply
    5,540.98x = 7,646.50 × 3,023.11
  4. Step 4: Simplify right side
    5,540.98x = 23,116,213.20
  5. Step 5: Solve for x
    x = 23,116,213.20/5,540.98
  6. Step 6: Final answer
    x = 4,171.86

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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.