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Finding the Fourth Proportional to 5,414.84, 7,471.20 and 3,056.52

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Solution

The fourth proportional to 5,414.84, 7,471.20 and 3,056.52 is: 4,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.84 : 7,471.20 = 3,056.52 : x
  2. Step 2: Convert to fraction form
    5,414.84/7,471.20 = 3,056.52/x
  3. Step 3: Cross multiply
    5,414.84x = 7,471.20 × 3,056.52
  4. Step 4: Simplify right side
    5,414.84x = 22,835,872.22
  5. Step 5: Solve for x
    x = 22,835,872.22/5,414.84
  6. Step 6: Final answer
    x = 4,217.28

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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.