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Finding the Fourth Proportional to 4,096.06, 6,144.49 and 4,032.54

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Solution

The fourth proportional to 4,096.06, 6,144.49 and 4,032.54 is: 6,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.06 : 6,144.49 = 4,032.54 : x
  2. Step 2: Convert to fraction form
    4,096.06/6,144.49 = 4,032.54/x
  3. Step 3: Cross multiply
    4,096.06x = 6,144.49 × 4,032.54
  4. Step 4: Simplify right side
    4,096.06x = 24,777,901.70
  5. Step 5: Solve for x
    x = 24,777,901.70/4,096.06
  6. Step 6: Final answer
    x = 6,049.20

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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.