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Finding the Fourth Proportional to 5,414.82, 7,472.46 and 3,056.91

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Solution

The fourth proportional to 5,414.82, 7,472.46 and 3,056.91 is: 4,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.82 : 7,472.46 = 3,056.91 : x
  2. Step 2: Convert to fraction form
    5,414.82/7,472.46 = 3,056.91/x
  3. Step 3: Cross multiply
    5,414.82x = 7,472.46 × 3,056.91
  4. Step 4: Simplify right side
    5,414.82x = 22,842,637.70
  5. Step 5: Solve for x
    x = 22,842,637.70/5,414.82
  6. Step 6: Final answer
    x = 4,218.54

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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.