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Finding the Fourth Proportional to 5,414.46, 7,471.77 and 3,056.40

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Solution

The fourth proportional to 5,414.46, 7,471.77 and 3,056.40 is: 4,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.46 : 7,471.77 = 3,056.40 : x
  2. Step 2: Convert to fraction form
    5,414.46/7,471.77 = 3,056.40/x
  3. Step 3: Cross multiply
    5,414.46x = 7,471.77 × 3,056.40
  4. Step 4: Simplify right side
    5,414.46x = 22,836,717.83
  5. Step 5: Solve for x
    x = 22,836,717.83/5,414.46
  6. Step 6: Final answer
    x = 4,217.73

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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.