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Finding the Fourth Proportional to 5,414.14, 7,471.50 and 2,930.14

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Solution

The fourth proportional to 5,414.14, 7,471.50 and 2,930.14 is: 4,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.14 : 7,471.50 = 2,930.14 : x
  2. Step 2: Convert to fraction form
    5,414.14/7,471.50 = 2,930.14/x
  3. Step 3: Cross multiply
    5,414.14x = 7,471.50 × 2,930.14
  4. Step 4: Simplify right side
    5,414.14x = 21,892,541.01
  5. Step 5: Solve for x
    x = 21,892,541.01/5,414.14
  6. Step 6: Final answer
    x = 4,043.59

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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.