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Finding the Fourth Proportional to 5,540.98, 7,646.12 and 3,022.95

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Solution

The fourth proportional to 5,540.98, 7,646.12 and 3,022.95 is: 4,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.98 : 7,646.12 = 3,022.95 : x
  2. Step 2: Convert to fraction form
    5,540.98/7,646.12 = 3,022.95/x
  3. Step 3: Cross multiply
    5,540.98x = 7,646.12 × 3,022.95
  4. Step 4: Simplify right side
    5,540.98x = 23,113,838.45
  5. Step 5: Solve for x
    x = 23,113,838.45/5,540.98
  6. Step 6: Final answer
    x = 4,171.44

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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.