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Finding the Fourth Proportional to 4,096.71, 6,144.46 and 2,016.16

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Solution

The fourth proportional to 4,096.71, 6,144.46 and 2,016.16 is: 3,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.71 : 6,144.46 = 2,016.16 : x
  2. Step 2: Convert to fraction form
    4,096.71/6,144.46 = 2,016.16/x
  3. Step 3: Cross multiply
    4,096.71x = 6,144.46 × 2,016.16
  4. Step 4: Simplify right side
    4,096.71x = 12,388,214.47
  5. Step 5: Solve for x
    x = 12,388,214.47/4,096.71
  6. Step 6: Final answer
    x = 3,023.94

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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.