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Finding the Fourth Proportional to 5,540.56, 7,646.16 and 3,022.72

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Solution

The fourth proportional to 5,540.56, 7,646.16 and 3,022.72 is: 4,171.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.56 : 7,646.16 = 3,022.72 : x
  2. Step 2: Convert to fraction form
    5,540.56/7,646.16 = 3,022.72/x
  3. Step 3: Cross multiply
    5,540.56x = 7,646.16 × 3,022.72
  4. Step 4: Simplify right side
    5,540.56x = 23,112,200.76
  5. Step 5: Solve for x
    x = 23,112,200.76/5,540.56
  6. Step 6: Final answer
    x = 4,171.46

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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.