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Finding the Fourth Proportional to 5,414.75, 7,472.30 and 3,056.99

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Solution

The fourth proportional to 5,414.75, 7,472.30 and 3,056.99 is: 4,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.75 : 7,472.30 = 3,056.99 : x
  2. Step 2: Convert to fraction form
    5,414.75/7,472.30 = 3,056.99/x
  3. Step 3: Cross multiply
    5,414.75x = 7,472.30 × 3,056.99
  4. Step 4: Simplify right side
    5,414.75x = 22,842,693.73
  5. Step 5: Solve for x
    x = 22,842,693.73/5,414.75
  6. Step 6: Final answer
    x = 4,218.61

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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.