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Finding the Fourth Proportional to 4,057.92, 6,086.29 and 1,096.53

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Solution

The fourth proportional to 4,057.92, 6,086.29 and 1,096.53 is: 1,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.92 : 6,086.29 = 1,096.53 : x
  2. Step 2: Convert to fraction form
    4,057.92/6,086.29 = 1,096.53/x
  3. Step 3: Cross multiply
    4,057.92x = 6,086.29 × 1,096.53
  4. Step 4: Simplify right side
    4,057.92x = 6,673,814.78
  5. Step 5: Solve for x
    x = 6,673,814.78/4,057.92
  6. Step 6: Final answer
    x = 1,644.64

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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.