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Finding the Fourth Proportional to 5,414.93, 8,123.85 and 2,293.19

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Solution

The fourth proportional to 5,414.93, 8,123.85 and 2,293.19 is: 3,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.93 : 8,123.85 = 2,293.19 : x
  2. Step 2: Convert to fraction form
    5,414.93/8,123.85 = 2,293.19/x
  3. Step 3: Cross multiply
    5,414.93x = 8,123.85 × 2,293.19
  4. Step 4: Simplify right side
    5,414.93x = 18,629,520.12
  5. Step 5: Solve for x
    x = 18,629,520.12/5,414.93
  6. Step 6: Final answer
    x = 3,440.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.