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Finding the Fourth Proportional to 5,414.41, 7,471.88 and 2,930.41

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Solution

The fourth proportional to 5,414.41, 7,471.88 and 2,930.41 is: 4,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.41 : 7,471.88 = 2,930.41 : x
  2. Step 2: Convert to fraction form
    5,414.41/7,471.88 = 2,930.41/x
  3. Step 3: Cross multiply
    5,414.41x = 7,471.88 × 2,930.41
  4. Step 4: Simplify right side
    5,414.41x = 21,895,671.87
  5. Step 5: Solve for x
    x = 21,895,671.87/5,414.41
  6. Step 6: Final answer
    x = 4,043.96

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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.