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Finding the Fourth Proportional to 3,930.36, 5,896.13 and 1,298.14

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Solution

The fourth proportional to 3,930.36, 5,896.13 and 1,298.14 is: 1,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.36 : 5,896.13 = 1,298.14 : x
  2. Step 2: Convert to fraction form
    3,930.36/5,896.13 = 1,298.14/x
  3. Step 3: Cross multiply
    3,930.36x = 5,896.13 × 1,298.14
  4. Step 4: Simplify right side
    3,930.36x = 7,654,021.43
  5. Step 5: Solve for x
    x = 7,654,021.43/3,930.36
  6. Step 6: Final answer
    x = 1,947.41

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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.