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Finding the Fourth Proportional to 3,428.70, 5,143.05 and 1,238.97

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Solution

The fourth proportional to 3,428.70, 5,143.05 and 1,238.97 is: 1,858.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.70 : 5,143.05 = 1,238.97 : x
  2. Step 2: Convert to fraction form
    3,428.70/5,143.05 = 1,238.97/x
  3. Step 3: Cross multiply
    3,428.70x = 5,143.05 × 1,238.97
  4. Step 4: Simplify right side
    3,428.70x = 6,372,084.66
  5. Step 5: Solve for x
    x = 6,372,084.66/3,428.70
  6. Step 6: Final answer
    x = 1,858.46

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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.