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Finding the Fourth Proportional to 4,057.68, 6,086.54 and 1,136.02

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Solution

The fourth proportional to 4,057.68, 6,086.54 and 1,136.02 is: 1,704.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.68 : 6,086.54 = 1,136.02 : x
  2. Step 2: Convert to fraction form
    4,057.68/6,086.54 = 1,136.02/x
  3. Step 3: Cross multiply
    4,057.68x = 6,086.54 × 1,136.02
  4. Step 4: Simplify right side
    4,057.68x = 6,914,431.17
  5. Step 5: Solve for x
    x = 6,914,431.17/4,057.68
  6. Step 6: Final answer
    x = 1,704.04

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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.