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Finding the Fourth Proportional to 3,428.01, 5,142.81 and 1,236.75

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Solution

The fourth proportional to 3,428.01, 5,142.81 and 1,236.75 is: 1,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.01 : 5,142.81 = 1,236.75 : x
  2. Step 2: Convert to fraction form
    3,428.01/5,142.81 = 1,236.75/x
  3. Step 3: Cross multiply
    3,428.01x = 5,142.81 × 1,236.75
  4. Step 4: Simplify right side
    3,428.01x = 6,360,370.27
  5. Step 5: Solve for x
    x = 6,360,370.27/3,428.01
  6. Step 6: Final answer
    x = 1,855.41

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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.